https://www.ravikantsir.in/a-boat-goes-12-km-upstream-and-40-km-downstream-in-8-hours-it-can-go-16-km-upstream-and-32-km-downstream-in-the-same-time-find-the-speed-of-the-oat-in-still-water-and-the-speed-of-the-stream/ 2026-04-06T06:09:20+00:00 monthly 0.2 https://www.ravikantsir.in/roohi-travels-300-km-to-her-home-partly-by-train-and-partly-by-bus-she-takes-4-hours-if-she-travels-60-km-by-train-and-the-remaining-by-bus-if-she-travels-100-km-by-train-and-the-remaining-by-bus-s/ 2026-04-06T06:10:46+00:00 monthly 0.2 https://www.ravikantsir.in/ritu-can-row-downstream-20-km-in-2-hours-and-upstream-4-km-in-2-hours-find-her-speed-of-rowing-in-still-water-and-the-speed-of-the-current/ 2026-04-06T06:12:25+00:00 monthly 0.2 https://www.ravikantsir.in/a-motor-boat-can-travel-30-km-upstream-and-28-km-downstream-in-7-hours-it-can-travel-21-km-upstream-and-return-in-5-hours-find-the-speed-of-the-boat-in-still-water-and-the-speed-of-the-stream/ 2026-04-06T06:13:46+00:00 monthly 0.2 https://www.ravikantsir.in/abdul-travelled-300-km-by-train-and-200-km-by-taxi-it-took-him-5-hours-30-minutes-but-if-he-travels-260-km-by-train-and-240-km-by-taxi-he-takes-6-minutes-longer-find-the-speed-of-the-train-and-that/ 2026-04-06T06:15:30+00:00 monthly 0.2 https://www.ravikantsir.in/a-train-covered-a-certain-distance-at-a-uniform-speed-if-the-train-could-have-been-10-km-hr-faster-it-would-have-taken-2-hours-less-than-the-scheduled-time-and-if-the-train-were-slower-by-10-km/ 2026-04-06T06:17:00+00:00 monthly 0.2 https://www.ravikantsir.in/places-a-and-b-are-100-km-apart-on-a-highway-one-car-starts-form-a-and-another-from-b-at-the-same-time-if-the-cars-travel-in-the-same-direction-at-different-speeds-they-meet-in-5-hours-if-they-tra/ 2026-04-06T06:18:31+00:00 monthly 0.2 https://www.ravikantsir.in/while-covering-distance-of-30-km-ajeet-takes-2-hours-more-than-amit-if-ajeet-doubles-his-speed-he-would-take-1-hour-less-than-amit-find-their-speeds-of-walking/ 2026-04-06T06:19:49+00:00 monthly 0.2 https://www.ravikantsir.in/a-takes-3-hours-more-than-b-to-walk-a-distance-of-30-km-but-if-a-doubles-his-pace-speed-he-is-ahead-of-b-by-11-2-hours-find-the-speeds-of-a-and-b/ 2026-04-06T06:20:59+00:00 monthly 0.2 https://www.ravikantsir.in/if-in-a-rectangle-the-length-is-increased-and-breadth-reduced-each-by-2-units-the-area-is-reduced-by-28-square-units-if-however-the-length-is-reduced-by-1-unit-and-the-breadth-increased-by-2-units/ 2026-04-07T03:56:43+00:00 monthly 0.2 https://www.ravikantsir.in/the-area-of-a-rectangle-remains-the-same-if-the-length-is-increased-by-7-metres-and-the-breadth-is-decreased-by-3-metres-if-the-length-is-decreased-by-7-metres-and-breadth-is-increased-by-4-metres-t/ 2026-04-07T03:58:44+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-rectangle-if-the-length-is-increased-by-3-metres-and-breadth-is-decreased-by-4-metres-the-area-of-the-rectangle-is-reduced-by-67-square-metres-if-length-is-reduced-by-1-metre-and-breadth-is-in/ 2026-04-07T04:00:22+00:00 monthly 0.2 https://www.ravikantsir.in/the-incomes-of-x-and-y-are-in-the-ratio-of-8-7-and-their-expenditures-are-in-the-ratio-19-16-if-each-saves-rs-1250-find-their-incomes/ 2026-04-07T04:01:36+00:00 monthly 0.2 https://www.ravikantsir.in/a-and-b-each-has-some-money-if-a-gives-rs-30-to-b-then-b-will-have-twice-the-money-left-with-a-but-if-b-gives-rs-10-to-a-then-a-will-have-thrice-as-much-as-is-left-with-b-how-much-money-does-eac/ 2026-04-07T04:02:55+00:00 monthly 0.2 https://www.ravikantsir.in/abcd-is-a-cyclic-quadrilateral-such-that-%e2%88%a0a4y20-%e2%88%a0b3y%e2%88%925-%e2%88%a0c4x-and-%e2%88%a0d7x5-find-the-four-angles/ 2026-04-07T04:04:50+00:00 monthly 0.2 https://www.ravikantsir.in/2-men-and-7-boys-can-do-a-piece-of-work-in-4-days-the-same-work-is-done-in-3-days-by-4-men-and-4-boys-how-long-would-it-take-one-man-and-one-boy-to-do-it/ 2026-04-07T04:06:18+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-%e2%96%b3abc-%e2%88%a0a-x-%e2%88%a0b-3x-2-%e2%88%a0c-y-also-%e2%88%a0c-%e2%88%a0b-9-find-the-three-angles/ 2026-04-07T04:07:43+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-cyclic-quadrilateral-abcd-%e2%88%a0a2x4-%e2%88%a0by3-%e2%88%a0c2y10-%e2%88%a0d4x-5-find-the-four-angles/ 2026-04-07T04:09:07+00:00 monthly 0.2 https://www.ravikantsir.in/yash-scored-40-marks-in-a-test-getting-3-marks-for-each-right-answer-and-losing-1-mark-for-each-wrong-answer-had-4-marks-been-awarded-for-each-correct-answer-and-2-marks-been-deducted-for-each-incor/ 2026-04-07T04:10:44+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-%e2%96%b3abc-%e2%88%a0a-x-%e2%88%a0b-3x-%e2%88%a0cy-if-3y-5x-30-prove-that-the-triangle-is-right-angled/ 2026-04-07T04:13:32+00:00 monthly 0.2 https://www.ravikantsir.in/the-car-hire-charges-in-a-city-comprise-of-a-fixed-charges-together-with-the-charge-for-the-distance-covered-for-a-journey-of-12-km-the-charge-paid-is-rs-89-and-for-a-journey-of-20-km-the-charge-pa/ 2026-04-07T04:15:17+00:00 monthly 0.2 https://www.ravikantsir.in/a-part-of-monthly-hostel-charges-in-a-college-are-fixed-and-the-remaining-depend-on-the-number-of-days-one-has-taken-food-in-the-mess-when-a-student-a-takes-food-for-20-days-he-has-to-pay-rs-1000-as/ 2026-04-07T04:16:40+00:00 monthly 0.2 https://www.ravikantsir.in/half-the-perimeter-of-a-garden-whose-length-is-4-more-than-its-width-is-36-m-find-the-dimensions-of-the-garden/ 2026-04-07T04:17:58+00:00 monthly 0.2 https://www.ravikantsir.in/the-larger-of-two-supplementary-angles-exceeds-the-smaller-by-18-degrees-find-them/ 2026-04-07T04:19:32+00:00 monthly 0.2 https://www.ravikantsir.in/2-women-and-5-men-can-together-finish-a-piece-of-embroidery-in-4-days-while-3-women-and-6-men-can-finish-it-in-3-days-find-the-time-taken-by-woman-alone-to-finish-the-embroidery-and-that-taken-by-1/ 2026-04-07T04:21:12+00:00 monthly 0.2 https://www.ravikantsir.in/meena-went-to-a-bank-to-withdraw-rs-2000-she-asked-the-cashier-to-give-her-rs-50-and-rs-100-notes-only-meena-got-25-notes-in-all-find-how-many-note-rs-50-and-rs-100-she-received/ 2026-04-07T04:23:00+00:00 monthly 0.2 https://www.ravikantsir.in/there-are-two-examination-rooms-a-and-b-if-10-candidates-are-sent-from-a-to-b-the-number-of-students-in-each-room-is-same-if-20-candidates-are-sent-from-b-to-a-the-number-of-students-in-a-is-doubl/ 2026-04-07T04:25:03+00:00 monthly 0.2 https://www.ravikantsir.in/a-railway-half-ticket-costs-half-the-full-fare-and-the-reservation-charge-is-the-same-on-half-ticket-as-on-full-ticket-one-reserved-first-class-ticket-from-mumbai-to-ahmedabad-costs-rs-216-and-one-fu/ 2026-04-07T04:26:35+00:00 monthly 0.2 https://www.ravikantsir.in/a-wizard-having-powers-of-mystic-in-candations-and-magical-medicines-seeing-a-cock-fight-going-on-spoke-privately-to-both-the-owners-of-cocks-to-one-he-said-if-your-bird-wins-than-you-give-me-you/ 2026-04-07T04:27:59+00:00 monthly 0.2 https://www.ravikantsir.in/the-students-of-a-class-are-made-to-stand-in-rows-if-3-students-are-extra-in-a-row-there-would-be-1-row-less-if-3-students-are-less-in-a-row-there-would-be-2-rows-more-find-the-number-of-students/ 2026-04-07T04:29:17+00:00 monthly 0.2 https://www.ravikantsir.in/one-says-give-me-hundred-friend-i-shall-then-become-twice-as-rich-as-you-the-other-replies-if-you-give-me-ten-i-shall-be-six-times-as-rich-as-you-tell-me-what-is-the-amount-of-their-resp/ 2026-04-07T04:30:32+00:00 monthly 0.2 https://www.ravikantsir.in/a-shopkeeper-sells-a-saree-at-8-profit-and-a-sweater-at-10-discount-thereby-getting-a-sum-rs-1008-if-she-had-sold-the-saree-at-10-profit-and-the-sweater-at-8-discount-she-would-have-got-rs-1028/ 2026-04-07T04:31:58+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-competitive-examination-one-mark-is-awarded-for-each-correct-answer-while-1-2-mark-is-deducted-for-every-wrong-answer-jayanti-answered-120-questions-and-got-90-marks-how-many-questions-did-she/ 2026-04-07T04:33:09+00:00 monthly 0.2 https://www.ravikantsir.in/a-shopkeeper-gives-books-on-rent-for-reading-she-takes-a-fixed-charge-for-the-first-two-days-and-an-additional-charge-for-each-day-thereafter-latika-paid-rs-22-for-a-book-kept-for-six-days-while/ 2026-04-07T04:34:32+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-k-for-which-the-system-of-equations-kx-y2-and-6x-2y-3-has-a-unique-solution-is-a-3-b-%e2%89%a0-3-c-%e2%89%a0-0-d-0/ 2026-04-07T04:40:27+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-k-for-which-the-system-of-equations-2x-3y-5-4x-k-y-10-has-infinite-number-of-solutions-is-a-1-b-3-c-6-d-0/ 2026-04-07T04:41:46+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-k-for-which-the-system-of-equations-x2y-30-and-5xky70-has-no-solution-is-a-10-b-60-c-3-d-1/ 2026-04-07T04:43:25+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-k-for-which-the-system-of-equations-3x5y0-and-kx10y0-has-a-non-zero-solution-is-a-0-b-2-c-6-d-8/ 2026-04-07T04:46:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-system-of-equations-2x3y7-abx2a-by21-has-infinitely-many-solutions-then-a-a1-b5-b-a5-b1-c-a-1-b5-d-a5-b-1/ 2026-04-07T04:47:21+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-system-of-equations-3xy1-2k-1xk-1y2k1-is-inconsistent-then-k-a-1-b-0-c-1-d-2/ 2026-04-07T04:48:33+00:00 monthly 0.2 https://www.ravikantsir.in/if-am-%e2%89%a0-bl-then-the-system-of-equations-ax-by-c-ix-my-n-a-has-a-unique-solution-b-has-no-solution-c-has-infinitely-many-solutions-d-may-or-may-not-have-a-solution/ 2026-04-07T04:49:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-system-of-equations-2x3y7-2axaby28-has-infinitely-many-solutions-then-a-a-2b-b-b-2a-c-a-2b-0-d-2a-b-0/ 2026-04-07T04:51:11+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-k-for-which-the-system-of-equations-x2y5-3xky150-has-no-solution-is-a-6-b-6-c-3-2-d-none-of-these/ 2026-04-07T04:53:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-2x-3y7-and-abx-ab-3y4ab-represent-coincident-lines-then-a-and-b-satisfy-the-equation-a-a-5b-0-b-5a-b-0-c-a-5b-0-d-5a-b-0/ 2026-04-07T04:55:11+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-pair-of-linear-equations-in-two-variables-is-consistent-then-the-lines-represented-by-two-equations-are-a-intersecting-b-parallel-c-always-coincident-d-intersecting-or-coincident/ 2026-04-07T04:56:20+00:00 monthly 0.2 https://www.ravikantsir.in/the-area-of-the-triangle-formed-by-the-line-x-a-y-b1-with-the-coordinate-axes-is-a-ab-b-2ab-c-1-2-ab-d-1-4-ab/ 2026-04-07T04:57:38+00:00 monthly 0.2 https://www.ravikantsir.in/the-area-of-the-triangle-formed-by-the-lines-yx-x6-and-y0-is-a-36-sq-units-b-18-sq-units-c-9-sq-units-d-72-sq-units/ 2026-04-07T04:58:47+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-system-of-equations-2x3y5-4xky10-has-infinitely-many-solutions-then-k-a-1-b-1-2-c-3-d-6/ 2026-04-07T05:00:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-system-of-equations-kx-5y-2-6x-2y-7-has-no-solution-then-k-a-10-b-5-c-6-d-15/ 2026-04-07T05:01:11+00:00 monthly 0.2 https://www.ravikantsir.in/the-area-of-the-triangle-formed-by-the-lines-x-3-y-4-and-x-y-is-a-1-2-sq-unit-b-1-sq-unit-c-2-sq-unit-d-none-of-these/ 2026-04-07T05:02:18+00:00 monthly 0.2 https://www.ravikantsir.in/the-area-of-the-triangle-formed-by-the-lines-2x3-y12-x-y-10-and-x0-as-shown-in-fig-3-23-is-a-7-sq-units-b-7-5-sq-units-c-6-5-sq-units-d-6-sq-units/ 2026-04-07T05:03:59+00:00 monthly 0.2 https://www.ravikantsir.in/the-sum-of-the-digits-of-a-two-digit-number-is-9-if-27-is-added-to-it-the-digits-of-the-number-get-reversed-the-number-is-a-25-b-72-c-63-d-36/ 2026-04-07T05:07:30+00:00 monthly 0.2 https://www.ravikantsir.in/if-xa-y-b-is-the-solution-of-the-systems-of-equations-x-y-2-and-x-y-4-then-the-values-of-a-and-b-are-respectively-a-3-and-1-b-3-and-5-c-5-and-3-d-1-and-3/ 2026-04-07T05:08:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-xa-y-b-is-the-solution-of-the-systems-of-equations-x-y-2-and-x-y-4-then-the-values-of-a-and-b-are-respectively-a-3-and-1-b-3-and-5-c-5-and-3-d-1-and-3-2/ 2026-04-07T05:09:38+00:00 monthly 0.2 https://www.ravikantsir.in/for-what-value-k-do-the-equations-3x-y-8-0-and-6x-ky-16-0-represent-coincident-lines-a-1-2-b-1-2-c-2-d-2/ 2026-04-07T05:10:57+00:00 monthly 0.2 https://www.ravikantsir.in/aruna-has-only-%e2%82%b9-1-and-%e2%82%b9-2-coins-with-her-if-the-total-number-of-coins-that-she-has-is-50-and-the-amount-of-money-with-her-is-%e2%82%b9-75-then-find-the-number-of-%e2%82%b9-1-and/ 2026-04-07T05:12:12+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-be-the-set-of-all-human-beings-in-a-town-at-a-particular-time-determine-whether-each-of-the-following-relations-are-reflexive-symmetric-and-transitive-r-x-y-x-and-y-work-at-the-s/ 2026-04-09T05:03:35+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-be-the-set-of-all-human-beings-in-a-town-at-a-particular-time-determine-whether-each-of-the-following-relations-are-reflexive-symmetric-and-transitive-r-x-y-x-is-wife-of-y/ 2026-04-09T05:05:20+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-be-the-set-of-all-human-beings-in-a-town-at-a-particular-time-determine-whether-each-of-the-following-relations-are-reflexive-symmetric-and-transitive-r-x-y-x-is-father-of-y/ 2026-04-09T05:06:48+00:00 monthly 0.2 https://www.ravikantsir.in/relations-r1-r2-r3-and-r4-are-defined-on-a-set-a-a-b-c-as-follows-r1-a-a-a-b-a-c-b-b-b-c-c-a-c-b-c-c-r2-a-a-r3-b-a-r4-a-b/ 2026-04-09T05:08:14+00:00 monthly 0.2 https://www.ravikantsir.in/test-whether-the-relation-r1-is-i-reflexive-ii-symmetric-and-iii-transitive-r1-on-q0-defined-by-a-b-%e2%88%88-r1%e2%87%94-a-1-b/ 2026-04-09T05:10:07+00:00 monthly 0.2 https://www.ravikantsir.in/test-whether-the-relation-r2-is-i-reflexive-ii-symmetric-and-iii-transitive-r2-on-z-defined-by-a-b-%cf%b5-r2%e2%87%94-a-b-%e2%89%a4-5/ 2026-04-09T05:11:38+00:00 monthly 0.2 https://www.ravikantsir.in/test-whether-the-relation-r3-is-i-reflexive-ii-symmetric-and-iii-transitive-r3-on-r-defined-by-a-b-%e2%88%88-r3%e2%87%94-a2-4-ab-3b2-0/ 2026-04-09T05:13:04+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-and-let-r1-1-1-1-3-3-1-2-2-2-1-3-3-2-2-2-1-3-3-r22231-1-3-r3-1-33-3-find-whether-or-not-each-of-the-relations-r1/ 2026-04-09T05:14:26+00:00 monthly 0.2 https://www.ravikantsir.in/the-following-relations-are-defined-on-the-set-of-real-numbers-arb-if-a-b-greater-than-0-ii-arb-if-1-ab-greater-than-0-iii-arb-if-a-%e2%89%a4-b-find-whether-these-relat/ 2026-04-09T05:16:12+00:00 monthly 0.2 https://www.ravikantsir.in/check-whether-the-relation-r-defined-on-the-set-a123456-as-r-a-b-b-a-1-is-reflexive-symmetric-or-transitive/ 2026-04-09T05:17:37+00:00 monthly 0.2 https://www.ravikantsir.in/check-whether-the-relation-r-on-r-defined-by-r-a-b-a-%e2%89%a4-b3-is-reflexive-symmetric-or-transitive/ 2026-04-09T05:19:09+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-every-identity-relation-on-a-set-is-reflexive-but-the-converse-is-not-necessarily-true/ 2026-04-09T05:20:37+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-4-define-relations-on-a-which-have-properties-of-being-i-reflexive-transitive-but-not-symmetric-ii-symmetric-but-neither-reflexive-nor-transitive-iii-reflexive-symmetr/ 2026-04-09T05:22:00+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-a-relation-defined-on-the-set-of-natural-numbers-n-as-r-x-y-x-y-%e2%88%88-n-2x-y-41-find-the-domain-and-range-of-r-also-verify-whether-r-is-i-reflexive/ 2026-04-09T05:23:38+00:00 monthly 0.2 https://www.ravikantsir.in/is-it-true-that-every-relation-which-is-symmetric-and-transitive-is-also-reflexive-give-reasons/ 2026-04-09T05:24:58+00:00 monthly 0.2 https://www.ravikantsir.in/an-integer-m-is-said-to-be-related-to-another-integer-n-if-m-is-a-multiple-of-n-check-if-the-relation-is-symmetric-reflexive-and-transitive/ 2026-04-09T05:26:24+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-relation-%e2%89%a5-on-the-set-r-of-all-real-numbers-is-reflexive-and-transitive-but-not-symmetric/ 2026-04-09T05:27:58+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-relation-which-is-i-reflexive-and-symmetric-but-not-transitive-ii-reflexive-and-transitive-but-not-symmetric-iii-symmetric-and-transitive-but-not-reflexive-iv-symmetr/ 2026-04-09T05:29:20+00:00 monthly 0.2 https://www.ravikantsir.in/given-the-relation-r-1-2-2-3-on-the-set-a-1-2-3-add-a-minimum-number-ordered-pairs-so-that-the-enlarged-relation-is-symmetric-transitive-and-reflexive/ 2026-04-09T05:30:42+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-and-r-1-2-1-1-2-3-be-a-relation-on-a-what-minimum-number-of-ordered-pairs-may-be-added-to-r-so-that-it-may-become-a-transitive-relation-on-a/ 2026-04-09T05:32:09+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-a-b-c-and-the-relation-r-be-defined-on-a-as-follows-raa-b-c-a-b-then-write-a-minimum-number-of-ordered-pairs-to-be-added-in-r-to-make-it-reflexive-and-transitive/ 2026-04-09T05:33:25+00:00 monthly 0.2 https://www.ravikantsir.in/relation-on-n-x-y-x-y-%e2%88%88-n-determine-the-above-relations-are-reflexive-symmetric-and-transitive/ 2026-04-09T05:34:47+00:00 monthly 0.2 https://www.ravikantsir.in/relation-on-n-x-y-10-x-y-%e2%88%88-n-determine-the-above-relations-are-reflexive-symmetric-and-transitive/ 2026-04-09T05:36:09+00:00 monthly 0.2 https://www.ravikantsir.in/relation-on-n-xy-is-square-of-an-integer-x-y-%e2%88%88-n-determine-the-above-relations-are-reflexive-symmetric-and-transitive/ 2026-04-09T05:38:09+00:00 monthly 0.2 https://www.ravikantsir.in/relation-on-n-x-4y-10-x-y-%e2%88%88-n-determine-the-above-relations-are-reflexive-symmetric-and-transitive/ 2026-04-09T05:39:29+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-relation-r-defined-by-r-a-b-a-b-is-divisible-by-3-a-b-%e2%88%88-z-is-an-equivalence-relation/ 2026-04-10T04:40:51+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-relation-r-on-the-set-z-of-integers-given-by-r-a-b-2-divides-a-b-is-an-equivalence-relation/ 2026-04-10T04:43:29+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-the-relation-r-on-z-defined-by-a-b-%e2%88%88-r-%e2%87%94-a-b-is-divisible-by-5-is-an-equivalence-relation-on-z/ 2026-04-10T04:45:07+00:00 monthly 0.2 https://www.ravikantsir.in/let-n-be-a-fixed-positive-integer-define-a-relation-r-on-z-as-follows-a-b-%e2%88%88-r-%e2%87%94-a-b-is-divisible-by-n-show-that-r-is-an-equivalence-relation-on-z/ 2026-04-10T04:46:58+00:00 monthly 0.2 https://www.ravikantsir.in/let-z-be-the-set-of-integers-show-that-the-relation-r-a-b-a-b-%e2%88%88-z-and-a-b-is-even-is-an-equivalence-relation-on-z/ 2026-04-10T04:48:32+00:00 monthly 0.2 https://www.ravikantsir.in/m-is-said-to-be-related-to-n-if-m-and-n-are-integers-and-m-n-is-divisible-by-13-does-this-define-an-equivalence-relation/ 2026-04-10T04:49:48+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-a-relation-on-the-set-a-of-ordered-pairs-of-non-zero-integers-defined-by-x-y-r-u-v-iff-xv-yu-show-that-r-is-an-equivalence-relation/ 2026-04-10T04:51:12+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-relation-r-on-the-set-a-x-%e2%88%88-z-0-%e2%89%a4-x-%e2%89%a4-12-given-by-r-a-b-a-b-is-an-equivalence-relation-find-the-set-of-all-elements-related-to-1/ 2026-04-10T04:53:01+00:00 monthly 0.2 https://www.ravikantsir.in/let-l-be-the-set-of-all-lines-in-xy-plane-and-r-be-the-relation-in-l-defined-as-r-l1-l2-l1-is-parallel-to-l2-show-that-r-is-an-equivalence-relation-find-the-set-of-all-lines-related-to-the-l/ 2026-04-10T04:54:31+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-relation-r-defined-on-the-set-a-of-all-polygons-as-r-p1-p2-p1-and-p2-have-same-number-of-sides-is-an-equivalence-relation-what-is-the-set-of-all-elements-in-a-related-to/ 2026-04-10T04:55:57+00:00 monthly 0.2 https://www.ravikantsir.in/let-o-be-the-origin-we-define-a-relation-between-two-points-p-and-q-in-a-plane-if-op-oq-show-that-the-relation-so-defined-is-an-equivalence-relation/ 2026-04-10T04:57:34+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-the-relation-defined-on-the-set-a-1-2-3-4-5-6-7-by-r-a-b-both-a-and-b-are-either-odd-or-even-show-that-r-is-an-equivalence-relation-further-show-that-all-the-elements-of/ 2026-04-10T04:58:59+00:00 monthly 0.2 https://www.ravikantsir.in/let-s-be-a-relation-on-the-set-r-of-all-real-numbers-defined-by-s-a-b-%e2%88%88-r-x-r-a2-b2-1-prove-that-s-is-not-an-equivalence-relation-on-r/ 2026-04-10T05:00:34+00:00 monthly 0.2 https://www.ravikantsir.in/let-z-be-the-set-of-all-integers-and-z0-be-the-set-of-all-non-zero-integers-let-a-relation-r-on-z-x-z0-be-defined-as-follows-a-b-r-c-d-%e2%87%94-ad-bc-for-all-a-b-c-d/ 2026-04-10T05:02:22+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-and-s-are-relations-on-a-set-a-then-prove-the-following-ir-and-s-are-symmetric-%e2%87%94-r-%e2%8b%82-s-and-r-%e2%8b%83-s-is-symmetric-ii-r-is-reflexive-and-s-is-any-relation-%e2%87%94-r/ 2026-04-10T05:04:13+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-and-s-are-transitive-relations-on-a-set-a-then-prove-that-r-%e2%8b%83-s-may-not-be-a-transitive-relation-on-a/ 2026-04-10T05:05:46+00:00 monthly 0.2 https://www.ravikantsir.in/let-c-be-the-set-of-all-complex-numbers-and-c0-be-the-set-of-all-non-zero-complex-numbers-let-a-relation-r-on-c0-be-defined-as-z1rz2%e2%87%94z1%e2%88%92z2-z1z2-is-real-for-all-z1z2%e2%88%88c0/ 2026-04-10T05:07:59+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-domain-of-the-relation-r-defined-on-the-set-z-of-integers-as-follows-a-b-%cf%b5-r-%e2%9f%ba-a2-b2-25/ 2026-04-10T05:10:41+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-x-y-x2-y2-%e2%89%a4-4-x-y-%cf%b5-z-is-a-relation-of-z-write-the-domain-of-r/ 2026-04-10T05:12:20+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-identity-relation-of-set-a-a-b-c/ 2026-04-10T05:13:42+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-smallest-reflexive-relation-of-set-a-1-2-3-4/ 2026-04-10T05:15:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-xy-x-2y-8-is-a-relation-on-n-then-write-the-range-of-r/ 2026-04-10T05:16:46+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-is-a-symmetric-relation-on-a-set-a-then-write-a-relation-between-r-and-r-1/ 2026-04-10T05:18:47+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-xy-x2-y2-less-than-1-be-a-relation-on-set-a-1-2-3-4-5-write-r-as-a-set-of-ordered-pairs/ 2026-04-10T05:21:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-3-4-b-1-3-7-and-r-xy-x-%cf%b5-a-y-%cf%b5b-and-x-less-than-y-is-a-relation-from-a-to-b-then-write-r-1/ 2026-04-10T05:23:05+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-3-5-7-b-2-6-10-and-r-be-a-relation-from-a-to-b-defined-by-r-x-y-x-and-y-are-relatively-prime-then-write-r-and-r-1/ 2026-04-10T05:24:42+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-5-7-and-b-2-4-9-and-r-is-a-relation-given-by-is-less-than-write-r-as-a-set-ordered-pairs/ 2026-04-10T05:26:04+00:00 monthly 0.2 https://www.ravikantsir.in/a-1-2-3-4-5-6-7-8-and-if-r-xy-y-is-one-half-of-x-x-y-%cf%b5a-is-a-relation-on-a-then-write-r-as-a-set-of-ordered-pairs/ 2026-04-10T05:27:30+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-2-3-4-5-and-b-1-3-4-if-r-is-the-relation-from-a-to-b-given-by-a-r-b-iff-a-is-a-divisor-of-b-write-r-as-a-set-of-ordered-pairs/ 2026-04-10T05:28:39+00:00 monthly 0.2 https://www.ravikantsir.in/state-the-reason-for-the-relation-r-on-the-set-1-2-3-given-by-r-1-2-2-1-not-to-be-transitive/ 2026-04-10T05:30:15+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-a-a3-a-is-a-prime-number-less-than-5-be-a-relation-find-the-range-of-r/ 2026-04-10T05:31:48+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-r-is-an-equivalence-relation-on-the-set-z-of-integers-given-by-r-a-b-2-divides-a-b-write-the-equivalence-class-0/ 2026-04-10T05:33:21+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-set-a-1-2-3-define-a-relation-r-on-the-set-a-as-follows-r-1-1-2-2-3-3-1-3-write-the-ordered-pairs-to-be-added-to-r-to-make-the-smallest-equivalence-relatio/ 2026-04-10T05:34:41+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-0-1-2-3-and-r-be-a-relation-on-a-defined-as-r-0-0-0-1-0-3-1-0-1-1-2-2-3-0-3-3-is-r-reflexive-symmetric-transitive/ 2026-04-10T05:36:20+00:00 monthly 0.2 https://www.ravikantsir.in/let-the-relation-r-be-defined-on-the-set-a-1-2-3-4-5-by-r-a-b-a2-b2-less-than-8-write-r-as-a-set-of-ordered-pairs/ 2026-04-10T05:38:01+00:00 monthly 0.2 https://www.ravikantsir.in/let-the-relation-r-be-defined-on-n-by-arb-iff-2a-3b-30-then-write-r-as-a-set-of-ordered-pairs/ 2026-04-10T05:39:32+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-smallest-equivalence-relation-on-the-set-a-1-2-3/ 2026-04-10T05:41:01+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-a-relation-on-the-set-n-given-by-r-a-b-a-b-2-b-greater-than-6-then-a-2-4-%e2%88%88-r-b-38-%e2%88%88-r-c-6-8-%e2%88%88-r-d-87-%e2%88%88-r/ 2026-04-11T04:40:08+00:00 monthly 0.2 https://www.ravikantsir.in/which-of-the-following-is-not-an-equivalence-relation-on-z-a-arb-%e2%9f%ba-a-b-is-an-even-integer-b-arb-%e2%9f%ba-a-b-is-a-even-integer-c-arb-%e2%9f%ba-a-less-than/ 2026-04-11T04:42:11+00:00 monthly 0.2 https://www.ravikantsir.in/r-is-a-relation-on-the-set-z-of-integers-and-it-is-given-by-x-y-%cf%b5-r-%e2%9f%ba-x-y-%e2%89%a4-1-then-r-is-a-reflexive-and-transitive-b-reflexive-and-symmetric-c-s/ 2026-04-11T04:43:29+00:00 monthly 0.2 https://www.ravikantsir.in/the-relation-r-defined-on-the-set-a-1-2-3-4-5-by-r-aba2-b2%e2%88%a3-less-than-16-is-given-by-a-1-1-2-1-3-1-4-1-2-3-b-2-2-3-2-4-2-2/ 2026-04-11T04:44:53+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-the-relation-over-the-set-of-all-straight-lines-in-a-plane-such-that-l1-r-l2%e2%9f%bal1%e2%8a%a5-l2-then-r-is-a-symmetric-b-reflexive-c-transitive-d-an-equivalence-relation/ 2026-04-11T04:46:07+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-a-b-c-then-the-relation-r-b-c-on-a-is-a-reflexive-only-b-symmetric-only-c-transitive-only-d-reflexive-and-transitive-only/ 2026-04-11T04:47:37+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-2-3-4-5-17-18-let-%e2%89%83-be-the-equivalence-relation-on-a-x-a-cartesian-product-of-a-with-itself-defined-by-a-b-%e2%89%83-c-d-if/ 2026-04-11T04:48:58+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-then-the-number-of-relations-containing-1-2-and-1-3-which-are-reflexive-and-symmetric-but-not-transitive-is-a-1-b-2-c-3-d-4/ 2026-04-11T04:50:21+00:00 monthly 0.2 https://www.ravikantsir.in/the-relation-r-in-n-x-n-such-that-a-b-r-c-d-%e2%9f%ba-a-d-b-c-is-a-reflexive-but-not-symmetric-b-reflexive-and-transitive-but-not-symmetric-c-an-equi/ 2026-04-11T04:51:42+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-b-1-4-5-9-and-r-is-a-relation-from-a-to-b-defined-by-x-is-greater-than-y-then-range-of-r-is-a-1-4-6-9-b-469-c-1-d-none-of-these/ 2026-04-11T04:53:00+00:00 monthly 0.2 https://www.ravikantsir.in/a-relation-r-is-defined-form-2-3-4-5-to-3-6-7-10-by-x-ry-%e2%9f%ba-x-is-relatively-prime-to-y-then-domain-of-r-is-a-235-b-35-c-2-3-4-d-2-3-4-5/ 2026-04-11T04:54:26+00:00 monthly 0.2 https://www.ravikantsir.in/a-relation-%cf%95-from-c-to-r-is-defined-by-x-%cf%95-%e2%9f%ba-x-y-which-one-is-correct-a-23i-%cf%95-13-b-3-%cf%95-3-c-1i-%cf%95-2-d-i-%cf%95-1/ 2026-04-11T04:55:33+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-a-relation-on-n-defined-by-x-2y-8-the-domain-of-r-is-a-2-4-8-b-2-4-6-8-c-2-4-6-d-1-2-3-4/ 2026-04-11T04:56:51+00:00 monthly 0.2 https://www.ravikantsir.in/r-is-a-relation-from-11-12-13-to-8-10-12-defined-by-y-x-3-then-r-1-is-a-8-11-10-13-b-118-13-10-c-10-13-8-11-8-10-d-none-of-these/ 2026-04-11T04:58:14+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-a-a-b-b-c-c-a-b-be-a-relation-on-set-a-a-b-c-then-r-is-a-identity-relation-b-reflexive-c-symmetric-d-equivalence/ 2026-04-11T04:59:29+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-and-r-1-2-2-3-1-3-be-a-relation-on-a-then-r-is-a-neither-reflexive-nor-transitive-b-neither-symmetric-nor-transitive-c-transitive-d-none-of-these/ 2026-04-11T05:00:55+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-is-the-largest-equivalence-relation-on-a-set-a-and-s-is-any-relation-on-a-then-a-r-%e2%8a%82-s-b-s-%e2%8a%82-r-c-r-s-d-none-of-these/ 2026-04-11T05:02:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-is-a-relation-on-the-set-a-1-2-3-4-5-6-7-8-9-given-by-x-r-y-%e2%9f%ba-y-3x-then-r-a-3-1-6-2-8-2-9-3-c-3-1-2-6-3-9-b-3-1-6-2/ 2026-04-11T05:03:46+00:00 monthly 0.2 https://www.ravikantsir.in/if-r-is-a-relation-on-the-set-a-1-2-3-given-by-r-1-1-2-2-3-3-then-r-is-a-reflexive-b-symmetric-c-transitive-d-all-the-three-options/ 2026-04-11T05:05:43+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-a-b-c-d-then-a-relation-r-a-b-b-a-a-a-on-a-is-a-symmetric-and-transitive-only-b-reflexive-and-transitive-only-c-symmetric-only-d-transitive-only/ 2026-04-11T05:07:09+00:00 monthly 0.2 https://www.ravikantsir.in/s-is-a-relation-over-the-set-r-of-all-real-numbers-and-its-is-given-by-a-b-%cf%b5-s-%e2%9f%ba-ab-%e2%89%a5-0-then-s-is-a-symmetric-and-transitive-only-b-reflexive-and-symmet/ 2026-04-11T06:42:39+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-set-z-of-all-integers-which-of-the-following-relation-r-is-not-an-equivalence-relation-a-x-r-y-if-x-%e2%89%a4-y-b-x-r-y-if-x-y-c-x-r-y-if-x-y-is-an-even-integer-d-x-r-y-if-x/ 2026-04-11T06:44:24+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-and-consider-the-relation-r-1-1-2-2-3-3-1-2-2-3-1-3-then-r-is-a-reflexive-but-not-symmetric-b-reflexive-but-not-transitive-c-symmetric-and-transitive/ 2026-04-11T06:45:49+00:00 monthly 0.2 https://www.ravikantsir.in/the-relation-s-defined-on-the-set-r-of-all-real-number-by-the-rule-a-sb-iff-a-%e2%89%a5-b-is-a-an-equivalence-relation-b-reflexive-transitive-but-not-symmetric-c-symmetric-transitive-but-not-refl/ 2026-04-11T06:47:01+00:00 monthly 0.2 https://www.ravikantsir.in/the-maximum-number-of-equivalence-relations-on-the-set-a-1-2-3-is-a-1-b-2-c-3-d-5/ 2026-04-11T06:48:23+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-a-relation-on-the-set-n-of-natural-numbers-defined-by-n-r-m-if-n-divides-m-then-r-is-a-reflexive-and-symmetric-b-transitive-and-symmetric-c-equivalence-d-reflexive-transitive-but-not-s/ 2026-04-11T06:49:32+00:00 monthly 0.2 https://www.ravikantsir.in/let-l-denote-the-set-of-all-straight-lines-in-a-plane-let-a-relation-r-be-defined-by-l-r-m-iff-l-is-perpendicular-to-m-for-all-l-m-%cf%b5-l-then-r-is-a-reflexive-b-symmetric-c-transit/ 2026-04-11T06:51:04+00:00 monthly 0.2 https://www.ravikantsir.in/let-t-be-the-set-of-all-triangles-in-the-euclidean-plane-and-let-a-relation-r-on-t-be-defined-as-a-r-b-if-a-is-congruent-to-b-for-all-a-b-%cf%b5-t-then-r-is-a-reflexive-but-not-symmetri/ 2026-04-11T06:52:21+00:00 monthly 0.2 https://www.ravikantsir.in/consider-a-non-empty-set-consisting-of-children-in-a-family-and-a-relation-r-defined-as-arb-if-a-is-brother-of-b-then-r-is-a-symmetric-but-not-transitive-b-transitive-but-not-symmetric-c-neither/ 2026-04-11T06:53:30+00:00 monthly 0.2 https://www.ravikantsir.in/for-real-numbers-x-and-y-define-x-r-y-iff-x-y-%e2%88%9a2-is-an-irrational-number-then-the-relation-r-is-a-reflexive-b-symmetric-c-transitive-d-none-of-these/ 2026-04-11T06:54:46+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-function-i-which-is-one-one-but-not-onto/ 2026-04-12T09:47:44+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-function-ii-which-is-not-one-one-but-onto/ 2026-04-12T09:49:09+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-function-iii-which-is-neither-one-one-nor-onto/ 2026-04-12T09:50:37+00:00 monthly 0.2 https://www.ravikantsir.in/is-function-from-a-to-b-one-one-and-onto-f1-1-3-2-5-3-7-a-1-2-3-b-3-5-7/ 2026-04-12T09:51:51+00:00 monthly 0.2 https://www.ravikantsir.in/is-function-from-a-to-b-one-one-and-onto-f2-2-a-3-b-4-c-a-2-3-4-b-a-b-c/ 2026-04-12T09:53:07+00:00 monthly 0.2 https://www.ravikantsir.in/is-function-from-a-to-b-one-one-and-onto-f3-a-x-b-x-c-z-d-z-a-a-b-c-d-b-x-y-z/ 2026-04-12T09:54:22+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-the-function-f-n-%e2%86%92-n-defined-by-fx-x2-x-1-is-one-one-but-not-onto/ 2026-04-12T09:55:49+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-0-1-and-f-x-x2-x-%e2%88%88-a-show-that-f-a-%e2%86%92-a-is-neither-one-one-nor-onto/ 2026-04-12T09:57:16+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-n-%e2%86%92-n-given-by-fx-x2/ 2026-04-12T09:58:46+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-z-%e2%86%92-z-given-by-fx-x2/ 2026-04-12T10:00:10+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-n-%e2%86%92-n-given-by-fx-x3/ 2026-04-12T10:01:40+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-z-%e2%86%92-z-given-by-fx-x3/ 2026-04-12T10:03:01+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-x/ 2026-04-12T10:04:25+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-z-%e2%86%92-z-defined-by-fx-x2-x/ 2026-04-12T10:05:58+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-z-%e2%86%92-z-defined-by-fx-x-5/ 2026-04-12T10:07:18+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-sin-x/ 2026-04-12T10:08:51+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-x3-1/ 2026-04-12T10:10:31+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-x3-x/ 2026-04-12T10:11:54+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-sin2-xcos2-x/ 2026-04-12T10:13:22+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-q-3-%e2%86%92-q-defined-by-fx2x3-x-3/ 2026-04-12T10:14:49+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-q-%e2%86%92-q-defined-by-fx-x3-1/ 2026-04-13T11:50:26+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx5x3-4/ 2026-04-13T11:52:27+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-3-4x/ 2026-04-13T11:54:02+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx1-x2/ 2026-04-13T11:55:34+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-function-as-injection-surjection-or-bijection-f-r-%e2%86%92-r-defined-by-fx-x-x2-1/ 2026-04-13T11:58:15+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-a-%e2%86%92-b-is-an-injection-such-that-range-of-f-a-determine-the-number-of-elements-in-a/ 2026-04-13T12:00:05+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-function-f-r-3-%e2%86%92-r-1-given-by-fx-x-2-x-3-is-a-bijection/ 2026-04-13T12:01:51+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-1-then-discuss-whether-the-following-function-from-a-to-itself-are-one-one-onto-or-bijective-fxx-2/ 2026-04-13T12:03:36+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-1-then-discuss-whether-the-following-function-from-a-to-itself-are-one-one-onto-or-bijective-gx%e2%88%a3x%e2%88%a3/ 2026-04-13T12:06:07+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-1-then-discuss-whether-the-following-function-from-a-to-itself-are-one-one-onto-or-bijective-hxx2/ 2026-04-13T12:07:34+00:00 monthly 0.2 https://www.ravikantsir.in/are-the-following-set-of-ordered-pairs-function-if-so-examine-whether-the-mapping-is-injective-or-surjective-x-y-x-is-a-person-y-is-the-mother-of-x/ 2026-04-13T12:09:23+00:00 monthly 0.2 https://www.ravikantsir.in/are-the-following-set-of-ordered-pairs-function-if-so-examine-whether-the-mapping-is-injective-or-surjective-a-b-a-is-a-person-b-is-an-ancestor-of-a/ 2026-04-13T12:10:45+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-write-all-one-one-from-a-to-itself/ 2026-04-13T12:12:03+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-r-%e2%86%92-r-be-the-function-defined-by-fx-4x3-7-show-that-f-is-a-bijection/ 2026-04-13T12:13:24+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-exponential-function-f-r-%e2%86%92-r-given-by-fxex-is-one-one-but-not-onto-what-happens-if-the-co-domain-is-replaced-by-r0-set-of-all-positive-real-numbers/ 2026-04-13T12:14:47+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-logarithmic-function-f-r0%e2%86%92-r-given-by-fx-loga-x-a-greater-than-0-is-a-bijection/ 2026-04-13T12:20:14+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-show-that-a-one-one-function-f-a-%e2%86%92-a-must-be-onto/ 2026-04-13T12:21:48+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-show-that-an-onto-function-f-a-%e2%86%92-a-must-be-one-one/ 2026-04-13T12:23:15+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-number-of-all-onto-functions-from-the-set-a-1-2-3-n-to-itself/ 2026-04-13T12:24:45+00:00 monthly 0.2 https://www.ravikantsir.in/give-examples-of-two-one-one-functions-f1-and-f2-from-r-to-r-such-that-f1-f2-r-%e2%86%92-r-defined-by-f1-f2x-f1x-f2x-is-not-one-one/ 2026-04-13T12:26:14+00:00 monthly 0.2 https://www.ravikantsir.in/give-examples-of-two-surjective-functions-f1-and-f2-from-z-to-z-such-that-f1-f2-is-not-surjective/ 2026-04-13T12:28:25+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-if-f1-and-f2-are-one-one-map-from-r-to-r-then-the-product-f1-x-f2-r-%e2%86%92-r-defined-by-f1-x-f2x-f1xf2x-need-not-be-one-one/ 2026-04-13T12:29:56+00:00 monthly 0.2 https://www.ravikantsir.in/suppose-f1-and-f2-are-non-zero-one-one-functions-from-r-to-r-is-f1-f2-necessarily-one-one-justify-your-answer-here-f1-f2-r%e2%86%92r-is-given-by-f1-f2xf1x-f2x-f/ 2026-04-13T12:31:25+00:00 monthly 0.2 https://www.ravikantsir.in/given-a-2-3-4-b-2-5-6-7-construct-an-example-of-each-of-the-following-ian-injective-map-from-a-to-b-iia-mapping-from-a-to-b-which-is-not-injective-iii-a-mapping-from-a-to-b/ 2026-04-13T12:35:30+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-f-r-%e2%86%92-r-given-by-fx-x-x-is-neither-one-one-nor-onto/ 2026-04-13T12:37:03+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-n-%e2%86%92-n-be-defined-by-fnn1-if-n-is-odd-n%e2%88%921if-n-is-even-show-that-f-is-a-bijection/ 2026-04-13T12:39:06+00:00 monthly 0.2 https://www.ravikantsir.in/find-gof-and-fog-when-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-is-defined-by-fx-2x3-and-gx-x2-5/ 2026-04-15T11:01:23+00:00 monthly 0.2 https://www.ravikantsir.in/find-gof-and-fog-when-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-is-defined-by-fx-2xx2-and-gxx3/ 2026-04-15T11:05:10+00:00 monthly 0.2 https://www.ravikantsir.in/find-gof-and-fog-when-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-is-defined-by-fx-x2-8-and-gx-3x3-1/ 2026-04-15T11:07:01+00:00 monthly 0.2 https://www.ravikantsir.in/find-gof-and-fog-when-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-is-defined-by-fx-x-and-gx-x/ 2026-04-15T11:08:46+00:00 monthly 0.2 https://www.ravikantsir.in/find-gof-and-fog-when-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-is-defined-by-fx-x2-2x-3-and-gx-3x-4/ 2026-04-15T11:09:51+00:00 monthly 0.2 https://www.ravikantsir.in/find-gof-and-fog-when-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-is-defined-by-fx-8x3-and-gx-x1-3/ 2026-04-15T11:11:10+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-3-1-9-3-12-4-and-g-1-3-3-3-4-9-5-9-show-that-gof-and-fog-are-both-defined-also-find-fog-and-gof/ 2026-04-15T11:12:27+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-1-1-4-2-9-3-16-4-and-g-1-2-2-4-3-6-4-8-show-that-gof-is-defined-while-fog-is-not-defined-also-find-gof/ 2026-04-15T11:13:41+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-a-b-c-b-u-v-w-and-let-f-and-g-be-two-functions-from-a-to-b-and-from-b-to-a-respectively-defined-as-f-a-v-b-u-c-w-g-u-b-v-a-w-c/ 2026-04-15T11:15:01+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-2-and-gof-1-when-f-r-%e2%86%92-r-fx-x2-8-and-g-r-%e2%86%92-r-gx-3x3-1/ 2026-04-15T11:16:24+00:00 monthly 0.2 https://www.ravikantsir.in/let-r-be-the-set-of-all-non-negative-real-numbers-if-f-r%e2%86%92-r-and-g-r%e2%86%92-r-are-defined-as-fx-x2-and-gx-%e2%88%9ax-find-fog-and-gof-are-they-equal-functions/ 2026-04-15T11:18:14+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r-%e2%86%92-r-and-g-r-%e2%86%92-r-be-defined-by-fx-x2-and-gx-x-1-show-that-fog-%e2%89%a0-gof/ 2026-04-15T11:19:27+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r-%e2%86%92-r-an-g-r-%e2%86%92-r-be-defined-by-fx-x-1-and-gx-x-1-show-that-fog-gof-ir/ 2026-04-15T11:20:45+00:00 monthly 0.2 https://www.ravikantsir.in/verify-associativity-for-the-following-three-mappings-f-n-%e2%86%92-z0-the-set-of-non-zero-integers-g-z0%e2%86%92-q-and-h-q-%e2%86%92-r-given-by-fx-2x-gx-1-x-and-hx-ex/ 2026-04-15T11:22:06+00:00 monthly 0.2 https://www.ravikantsir.in/consider-f-n-%e2%86%92-n-g-n-%e2%86%92-n-and-h-n-%e2%86%92-r-defined-as-fx-2x-gy-3y-4-and-hz-sin-z-for-all-x-y-z-%e2%88%88-n-show-that-ho/ 2026-04-15T11:23:24+00:00 monthly 0.2 https://www.ravikantsir.in/give-examples-of-two-functions-f-n-%e2%86%92-n-and-g-n-%e2%86%92-n-such-that-gof-is-onto-but-f-is-not-onto/ 2026-04-15T11:24:59+00:00 monthly 0.2 https://www.ravikantsir.in/give-examples-of-two-functions-f-n-%e2%86%92-z-and-g-z-%e2%86%92-z-such-that-gof-is-injective-but-g-is-not-injective/ 2026-04-15T11:26:15+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-a-%e2%86%92-b-and-g-b-%e2%86%92-c-are-one-one-functions-show-that-gof-is-a-one-one-function/ 2026-04-15T11:27:43+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-a-%e2%86%92-b-and-g-b-%e2%86%92-c-are-onto-functions-show-that-gof-is-an-onto-function/ 2026-04-15T11:28:58+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-ex-gx-loge-x/ 2026-04-16T04:17:47+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-x2-gx-cos-x/ 2026-04-16T04:19:03+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-%e2%88%a3x%e2%88%a3-gx-sin-x/ 2026-04-16T04:20:16+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-x-1-gx-ex/ 2026-04-16T04:21:24+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-sin-1-x-gx-x2/ 2026-04-16T04:23:41+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-x-1-gx-sin-x/ 2026-04-16T04:25:32+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-x-1-gx-2x-3/ 2026-04-16T04:27:22+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-c-c-%e2%88%88-r-gx-sin-x2/ 2026-04-16T04:28:37+00:00 monthly 0.2 https://www.ravikantsir.in/find-fog-and-gof-if-fx-x2-2-gx-1-1-1-x/ 2026-04-16T04:29:43+00:00 monthly 0.2 https://www.ravikantsir.in/let-fx-x2-x-1-and-gx-sin-x-show-that-fog-%e2%89%a0-gof/ 2026-04-16T04:31:09+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-x-prove-that-fof-f/ 2026-04-16T04:32:26+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-2x-5-and-gx-x2-1-be-two-real-functions-then-describe-each-of-the-following-functions-i-fog-ii-gof-iii-fof-iv-f2/ 2026-04-16T04:33:45+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-sin-x-and-gx-2x-be-two-real-functions-then-describe-gof-and-fog-are-these-equal-functions/ 2026-04-16T04:35:08+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-g-h-be-real-functions-given-by-fx-sin-x-gx-2x-and-hx-cos-x-prove-that-fog-gofh/ 2026-04-16T04:36:48+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-be-any-real-function-and-let-g-be-a-function-given-by-gx-2x-prove-that-gof-f-f/ 2026-04-16T04:38:14+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-%e2%88%9a1-x-and-gx-loge-x-are-two-real-functions-then-describe-functions-fog-and-gof/ 2026-04-16T04:39:35+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-%cf%80-2-%cf%80-2%e2%86%92-r-and-g-1-1-%e2%86%92-r-be-defined-as-fx-tan-x-and-gx%e2%88%9a1-x2-respectively-describe-fog-and-gof/ 2026-04-16T04:41:20+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-%e2%88%9ax-3-and-gx-x2-1-be-two-real-functions-then-find-fog-and-gof/ 2026-04-16T04:42:36+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-be-a-real-function-given-by-fx%e2%88%9ax-2-find-each-of-the-following-ifof-ii-fofof-iiii-fofof38-iv-f2-also-show-that-fof-%e2%89%a0-f2/ 2026-04-16T04:44:02+00:00 monthly 0.2 https://www.ravikantsir.in/let-fx-1-x-0-%e2%89%a4-x-%e2%89%a4-2-3-x-2-less-than-x%e2%89%a4-3-find-fof/ 2026-04-16T04:53:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-g-r-%e2%86%92-r-be-two-functions-defined-as-fx-x-x-and-gx-x-x-for-all-x%e2%88%88-r-then-find-fog-and-gof-hence-find-fog-3fog-5-and-gof-2/ 2026-04-16T04:55:08+00:00 monthly 0.2 https://www.ravikantsir.in/state-with-reasons-whether-the-following-function-has-inverse-i-f-1-2-3-4-%e2%86%92-10-with-f-1-10-2-10-3-10-4-10/ 2026-04-16T11:39:01+00:00 monthly 0.2 https://www.ravikantsir.in/state-with-reasons-whether-the-following-function-has-inverse-ii-g-5-6-7-8-%e2%86%92-1-2-3-4-with-g-5-4-6-3-7-4-8-2/ 2026-04-16T11:40:33+00:00 monthly 0.2 https://www.ravikantsir.in/state-with-reasons-whether-the-following-function-has-inverse-iii-h-2-3-4-5-%e2%86%92-7-9-11-13-with-h-2-7-3-9-4-11-5-13/ 2026-04-16T11:42:08+00:00 monthly 0.2 https://www.ravikantsir.in/find-f-1-if-it-exists-for-f-a-%e2%86%92-b-where-a-0-1-3-2-b-9-3-0-6-and-fx-3x/ 2026-04-16T11:43:39+00:00 monthly 0.2 https://www.ravikantsir.in/find-f-1-if-it-exists-for-f-a-%e2%86%92-b-where-a-1-3-5-7-9-b-0-1-9-25-49-81-and-fx-x2/ 2026-04-16T11:44:57+00:00 monthly 0.2 https://www.ravikantsir.in/consider-f-1-2-3-%e2%86%92-a-b-c-and-g-a-b-c-%e2%86%92-apple-ball-cat-defined-as-f1-a-f2-b-f3-c-ga-apple-gb-ball-and-gc-cat-show-th/ 2026-04-16T11:46:33+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-4-b-3-5-7-9-c-7-23-47-79-and-f-a-%e2%86%92-b-g-b-%e2%86%92-c-be-defined-as-fx-2x-1-and-gx-x2-2-express-gof-1-an/ 2026-04-16T11:47:56+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-function-f-q-%e2%86%92-q-defined-by-fx-3x-5-is-invertible-also-find-f-1/ 2026-04-16T11:49:12+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-function-f-r-%e2%86%92-r-defined-by-fx-4x-3-is-invertible-find-the-inverse-of-f/ 2026-04-16T11:52:38+00:00 monthly 0.2 https://www.ravikantsir.in/consider-fr%e2%86%924%e2%88%9e-given-by-fxx24-show-that-f-is-invertible-with-f-1-off-given-by-f%e2%88%921x%e2%88%9ax-4-where-r-is-the-set-of-all-non-negative-real-numbers/ 2026-04-16T11:55:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-4x3-6x-4-x%e2%89%a0-2-3-show-that-fofx-x-for-all-x%e2%89%a0-2-3-what-is-the-inverse-of-f/ 2026-04-16T11:57:32+00:00 monthly 0.2 https://www.ravikantsir.in/consider-fr%e2%86%92%e2%88%925%e2%88%9e-given-by-fx9x2-6x-5-show-that-f-is-invertible-with-f%e2%88%921x-%e2%88%9ax6-1-3/ 2026-04-16T12:02:14+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-be-defined-by-fxx3-3-then-prove-that-f-1-exists-and-find-a-formula-for-f-1-hence-find-f-124-and-f-15/ 2026-04-16T12:04:05+00:00 monthly 0.2 https://www.ravikantsir.in/a-function-f-r-%e2%86%92-r-is-defined-as-fx-x3-4-is-it-a-bijection-or-not-in-case-it-is-a-bijection-find-f-13/ 2026-04-16T12:05:36+00:00 monthly 0.2 https://www.ravikantsir.in/if-fq%e2%86%92q-gq%e2%86%92q-are-two-functions-defined-by-fx-2x-and-gx-x-2-show-that-f-and-g-are-bijective-maps-verify-that-gof-1f-1og-1/ 2026-04-16T12:07:13+00:00 monthly 0.2 https://www.ravikantsir.in/let-ar-3-and-br-1-consider-the-function-fa%e2%86%92b-defined-by-fxx-2-x-3-show-that-f-is-one-one-and-onto-and-hence-find-f-1/ 2026-04-16T12:09:01+00:00 monthly 0.2 https://www.ravikantsir.in/consider-the-function-fr%e2%86%92%e2%88%929%e2%88%9e-given-by-fx5x26x%e2%88%929-prove-that-f-is-invertible-with-f-1y%e2%88%9a545y-3-5/ 2026-04-16T12:11:01+00:00 monthly 0.2 https://www.ravikantsir.in/let-fn%e2%86%92n-be-a-function-defined-as-fx9x26x-5-show-that-fn%e2%86%92s-where-s-is-the-range-of-f-is-invertible-find-the-inverse-of-f-and-hence-find-f-143-and-f-1163/ 2026-04-16T12:12:50+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr-4-3%e2%86%92r-be-a-function-defined-as-fx4x-3x4-show-that-fr-4-3%e2%86%92-range-f-is-one-one-and-onto-hence-find-f-1/ 2026-04-17T03:54:36+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92-11-defined-by-fx10x-10-x-10x10-x-is-invertible-find-f-1/ 2026-04-17T03:56:38+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%9202-defined-by-fx-ex-e-x-exe-x-is-invertible-find-f-1/ 2026-04-17T03:58:00+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-1-%e2%88%9e%e2%86%92-1-%e2%88%9e-is-given-by-fx-x12-1-show-that-f-is-invertible-also-find-the-set-s-x-fx-f-1x/ 2026-04-17T03:59:26+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-x-%cf%b5-r-1-%e2%89%a4-x-%e2%89%a4-1-and-let-fa-%e2%86%92-a-g-a%e2%86%92a-be-two-functions-defined-by-fx-x2-and-gx-sin-%cf%80x-2-show-that-g-1-exists-but-f-1-does-not-exist/ 2026-04-17T04:00:49+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-be-a-function-from-r-to-r-such-that-fx-cos-x-2-is-f-invertible-justify-your-answer/ 2026-04-17T04:02:15+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-4-and-b-a-b-c-d-define-any-four-bijections-from-a-to-b-also-give-their-inverse-function/ 2026-04-17T04:03:31+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-and-b-be-two-sets-each-with-finite-number-of-elements-assume-that-there-is-an-injective-map-from-a-to-b-and-that-there-is-an-injective-map-from-b-to-a-prove-that-there-is-a-bijection-from-a-to/ 2026-04-17T04:04:41+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-a-%e2%86%92-a-and-g-a-%e2%86%92-a-are-two-bijections-then-prove-that-i-fog-is-an-injection-ii-fog-is-a-surjection/ 2026-04-17T04:05:52+00:00 monthly 0.2 https://www.ravikantsir.in/which-one-of-the-following-graphs-represent-a-function/ 2026-04-17T04:09:27+00:00 monthly 0.2 https://www.ravikantsir.in/which-one-of-the-following-graphs-represent-a-one-one-function/ 2026-04-17T04:11:37+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-and-b-a-b-write-total-number-of-functions-from-a-to-b/ 2026-04-17T04:13:26+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-a-b-c-and-b-2-1-0-1-2-write-total-number-of-one-one-functions-from-a-to-b/ 2026-04-17T04:14:41+00:00 monthly 0.2 https://www.ravikantsir.in/write-total-number-of-one-one-functions-from-set-a-1-2-3-4-to-set-b-a-b-c/ 2026-04-17T04:16:07+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-is-defined-by-fx-x2-write-f-1-25/ 2026-04-17T04:17:44+00:00 monthly 0.2 https://www.ravikantsir.in/if-fc%e2%86%92c-is-defined-by-fx-x2-write-f-1-4-here-c-denotes-the-set-of-all-complex-numbers/ 2026-04-17T04:18:54+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-is-defined-by-fx-x3-write-f-11/ 2026-04-17T04:19:56+00:00 monthly 0.2 https://www.ravikantsir.in/let-c-denote-the-set-of-all-complex-numbers-a-function-fc%e2%86%92c-is-defined-by-fx-x3-write-f-11/ 2026-04-17T04:21:06+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-be-a-function-from-c-set-of-all-complex-numbers-to-itself-given-by-fx-x3-write-f-1-1/ 2026-04-17T04:22:35+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-is-defined-by-fx-x4-write-f-11/ 2026-04-17T04:23:45+00:00 monthly 0.2 https://www.ravikantsir.in/if-fc%e2%86%92c-is-defined-by-fx-x4-write-f-11/ 2026-04-17T04:24:51+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-is-defined-by-fx-x2-write-f-1-25-2/ 2026-04-17T04:25:57+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-c%e2%86%92c-is-defined-by-fx-x-23-write-f-1-1/ 2026-04-17T04:27:13+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-r%e2%86%92r-is-defined-by-fx-10x-7-then-write-f-1x/ 2026-04-17T04:30:34+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-%cf%80-2-%cf%80-2%e2%86%92r-be-a-function-defined-by-fx-cos-x-then-write-rangef/ 2026-04-17T04:36:26+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-r%e2%86%92r-is-defined-by-fx-3x-4-is-invertible-then-write-f-1x/ 2026-04-17T04:40:05+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-gr%e2%86%92r-are-given-by-fx-x12-and-gx-x2-1-then-write-the-value-of-fog-3/ 2026-04-17T04:41:17+00:00 monthly 0.2 https://www.ravikantsir.in/let-ax%e2%88%88r-4%e2%89%a4x%e2%89%a44-and-x-%e2%89%a00-and-fa%e2%86%92r-is-defined-by-fx-%e2%88%a3x%e2%88%a3-x-write-the-range-of-f/ 2026-04-17T04:42:31+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-%cf%80-2-%cf%80-2%e2%86%92a-be-defined-by-fx-sin-x-if-f-is-a-bijection-write-set-a/ 2026-04-17T04:44:00+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-defined-by-fx-ax-a-0-and-a%e2%89%a0-1-write-f-1x/ 2026-04-17T04:45:18+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr-1%e2%86%92r-1-be-given-by-fx-x-x1-write-f-1x/ 2026-04-17T04:46:59+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr-3-5%e2%86%92r-be-a-function-defined-as-fx-2x-5x3-write-f-1-range-of-f%e2%86%92-r-3-5/ 2026-04-17T04:48:16+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-gr%e2%86%92r-be-two-functions-defined-by-fx-x2-x-1-and-gx-1-x2-write-fog-2/ 2026-04-17T04:49:33+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-defined-as-fx-2x-3-4-write-fof-11/ 2026-04-17T04:50:41+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-be-an-invertible-real-function-write-f-1of1-f-1of2-f-1of3-f-1of100/ 2026-04-17T04:52:12+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-4-and-b-a-b-be-two-sets-write-total-number-of-onto-functions-from-a-to-b/ 2026-04-17T04:53:26+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-domain-of-the-real-function-fx-%e2%88%9ax-x/ 2026-04-17T04:54:57+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-domain-of-the-real-function-fx-%e2%88%9ax-x-2/ 2026-04-17T04:56:57+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-domain-of-the-real-function-fx-1-%e2%88%9ax-x/ 2026-04-17T05:00:23+00:00 monthly 0.2 https://www.ravikantsir.in/write-whether-fr%e2%86%92r-given-by-fx-x-%e2%88%9ax2-is-one-one-many-one-onto-or-into/ 2026-04-17T05:04:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-x-7-and-gx-x-7-x-%cf%b5-r-write-fog7/ 2026-04-17T11:46:27+00:00 monthly 0.2 https://www.ravikantsir.in/what-is-the-range-of-the-function-fx-x-1-x-1/ 2026-04-17T11:51:14+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-defined-by-fx-3-x31-3-then-fofx/ 2026-04-17T11:53:09+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-r-%e2%86%92-r-is-defined-by-fx-3x-2-find-ff-x/ 2026-04-17T11:54:23+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-2-3-b-4-5-6-7-and-let-f-1-4-2-5-3-6-be-a-function-from-a-to-b-state-whether-f-is-one-one-or-not/ 2026-04-17T11:55:39+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-5-6-%e2%86%92-2-3-and-g-2-3-%e2%86%92-5-6-are-given-by-f-5-2-6-3-and-g-2-5-3-6-find-fog/ 2026-04-17T11:56:52+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r-%e2%86%92-r-be-the-function-defined-by-fx-4x-3-for-all-x-%cf%b5-r-then-write-f-1/ 2026-04-17T11:58:10+00:00 monthly 0.2 https://www.ravikantsir.in/which-one-the-following-relations-on-a-1-2-3-is-a-function-f-1-3-2-3-3-2-g-1-2-1-3-3-1/ 2026-04-17T11:59:25+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-domain-of-the-real-function-f-defined-by-fx-%e2%88%9a25-x2/ 2026-04-17T12:00:39+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-a-b-c-d-and-f-a%e2%86%92a-be-given-by-f-ab-bd-ca-dc-write-f-1/ 2026-04-17T12:01:46+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-gr-%e2%86%92-r-be-defined-by-fx2x-1-and-gx-x2-2-for-all-x-%cf%b5-r-respectively-then-find-gof/ 2026-04-17T12:02:52+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-mapping-f1-3-4%e2%86%921-2-5-and-g1-2-5%e2%86%921-3-given-by-f1-2-3-5-4-1-and-g2-3-5-1-1-3-write-fog/ 2026-04-17T12:04:16+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-function-g-1-1-2-3-3-5-4-7-is-described-by-gx-%ce%b1x-%ce%b2-find-the-values-of-%ce%b1-and-%ce%b2/ 2026-04-17T12:05:38+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-4-x-73-write-f-1x/ 2026-04-17T12:06:52+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-x%cf%b5r-1%e2%89%a4x%e2%89%a41-b-and-cx%cf%b5r-x-%e2%89%a5-0-and-let-sx-y-%cf%b5axb-x2y21-and-s0x-y%cf%b5axc-x2y21-then/ 2026-04-18T04:33:32+00:00 monthly 0.2 https://www.ravikantsir.in/fr%e2%86%92r-given-by-fx-x-%e2%88%9ax2-is-a-injective-b-surjective-c-bijective-d-none-of-these/ 2026-04-18T04:35:13+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-a-%e2%86%92-b-given-by-3fx2%e2%88%92x-4-is-a-bijection-then/ 2026-04-18T04:37:47+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-r-%e2%86%92-r-defined-by-fx-2x-2%e2%88%a3x%e2%88%a3-is-a-one-one-and-onto-b-many-one-and-onto-c-one-one-and-into-d-many-one-and-into/ 2026-04-18T04:39:22+00:00 monthly 0.2 https://www.ravikantsir.in/let-the-function-fr-b%e2%86%92r-1-be-defined-by-fx-xa-xb-a-%e2%89%a0-b-then-a-f-is-one-one-but-not-onto-b-f-is-onto-but-not-one-one-c-f-is-both-one-one-and-onto-d-none-of-these/ 2026-04-18T04:40:56+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-a-%e2%86%92-b-defined-by-fx%e2%88%92x26x-8-is-a-bijection-if-a-a-%e2%88%9e-5-and-b-%e2%88%9e-1-b-a-3-%e2%88%9e-and-b-%e2%88%9e-1-c-a/ 2026-04-18T04:42:38+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-x-%cf%b5r-1-%e2%89%a4-x-%e2%89%a4-1-b-then-the-mapping-f-a-%e2%86%92-b-given-by-fx-x-x-is-a-injective-but-not-surjective-b-surjective-but-not-injectiv/ 2026-04-18T04:44:01+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-given-by-fxx2x1%e2%88%923-where-x-denotes-the-greatest-integer-less-than-or-equal-to-x-then-fx-is-a-many-one-and-onto-c-one-one-and-into-b-many-one-and-into/ 2026-04-18T04:45:31+00:00 monthly 0.2 https://www.ravikantsir.in/let-m-be-the-set-of-all-2-x-2-matrices-with-entries-from-the-set-r-of-real-numbers-then-the-function-f-m-%e2%86%92-r-defined-by-fa-a-for-every-a-%cf%b5-m-is-a-one-o/ 2026-04-18T04:47:05+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-0%e2%88%9e%e2%86%92r-given-by-fxx-x1-is-a-one-one-and-onto-b-one-one-but-not-onto-c-onto-but-not-one-one-d-neither-one-one-nor-onto/ 2026-04-18T04:48:22+00:00 monthly 0.2 https://www.ravikantsir.in/the-range-of-the-function-fx-7%e2%88%92xpx%e2%88%923-is-a-1-2-3-4-5-b-1-2-3-4-5-6-c-1-2-3-4-d-1-2-3/ 2026-04-18T04:49:40+00:00 monthly 0.2 https://www.ravikantsir.in/a-function-f-from-the-set-on-natural-numbers-to-integers-defined-by-fnn%e2%88%921-2when-n-is-odd-%e2%88%92n-2-when-n-is-even-is/ 2026-04-18T04:51:27+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-be-an-injective-map-with-domain-x-y-z-and-range-1-2-3-such-that-exactly-one-of-the-following-statements-is-correct-and-the-remaining-are-false-fx-1-fy-%e2%89%a0-1-fz-%e2%89%a0/ 2026-04-18T04:53:18+00:00 monthly 0.2 https://www.ravikantsir.in/which-of-the-following-functions-from-z-to-itself-are-bijections-a-fxx3-b-fxx-2-c-fx-2x-1-d-fx-x2-x/ 2026-04-18T04:54:40+00:00 monthly 0.2 https://www.ravikantsir.in/which-of-the-following-functions-from-ax%e2%88%921%e2%89%a4x%e2%89%a41-to-itself-are-bijections-a-fxx-2-b-gxsin%cf%80x-2-c-hx%e2%88%a3x%e2%88%a3-d-kxx2/ 2026-04-18T04:56:05+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-x-1-%e2%89%a4-x-%e2%89%a4-1-and-f-a-%e2%86%92-a-such-that-fx-x-x-then-f-is-a-a-bijection-b-injective-but-not-surjective-c-surjective-but-not-injective-d-neither-injective-no/ 2026-04-18T04:57:36+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-function-fr%e2%86%92a-given-by-fx-x2-x21-is-a-surjection-then-a-a-r-b-01-c-01-d-01/ 2026-04-18T04:59:05+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-function-f-2-%e2%88%9e-%e2%86%92-b-defined-by-fx-x2-4x5-is-a-bijection-then-b-a-r-b-1-%e2%88%9e-c-4-%e2%88%9e-d-5-%e2%88%9e/ 2026-04-18T05:00:17+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-r-%e2%86%92-r-defined-by-fx-x-1-x-2-x-3-is-a-one-one-but-not-onto-b-onto-but-not-one-one-c-both-one-and-onto-d-neither-one-one-nor-onto/ 2026-04-18T05:01:40+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-1-2-1-2-%e2%86%92-%cf%80-2-%cf%80-2-defined-by-fxsin-13x-4x3-is-a-bijection-b-injection-but-not-a-surjection-c-surjection-but-not-an-injection-d-neither-an-injec/ 2026-04-18T05:03:08+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-a-function-defined-by-fx-e%e2%88%a3x%e2%88%a3-e-x-exe-x-then-a-f-is-a-bijection-b-f-is-an-injection-only-c-f-is-surjection-on-only-d-f-is-neither-an-injection-no/ 2026-04-18T05:05:57+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r-n%e2%86%92r-be-a-function-defined-by-fx-x-m-x-n-where-m-%e2%89%a0-n-then-a-f-is-one-one-onto-b-f-is-one-one-into-c-f-is-many-one-onto-d-f-is-many-one-into/ 2026-04-18T05:07:15+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-a-function-defined-by-fx-x2-8-x22-then-f-is-a-one-one-but-not-onto-b-one-one-and-onto-c-onto-but-not-one-one-d-neither-one-one-nor-onto/ 2026-04-18T05:08:24+00:00 monthly 0.2 https://www.ravikantsir.in/fr%e2%86%92r-is-defined-by-fx-ex2-e-x2-ex2e-x2-is-a-one-one-but-not-onto-b-one-one-and-onto-c-onto-but-not-one-one-d-neither-one-one-nor-onto/ 2026-04-18T05:09:37+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-r-%e2%86%92-r-fxx2-is-a-injective-but-not-surjective-b-surjective-but-not-injective-c-injective-as-well-as-surjective-d-neither-injective-nor-surjective/ 2026-04-18T05:10:57+00:00 monthly 0.2 https://www.ravikantsir.in/a-function-f-from-the-set-of-natural-numbers-to-the-set-of-integers-defined-by-fnn%e2%88%921-2-when-n-is-odd-%e2%88%92n-2-when-n-is-even-a-neither-one-one-nor-onto-b-one-on/ 2026-04-18T05:12:49+00:00 monthly 0.2 https://www.ravikantsir.in/which-of-the-following-functions-from-ax%e2%88%88r%e2%88%921%e2%89%a4x%e2%89%a41-to-itself-are-bijections-a-fx%e2%88%a3x%e2%88%a3-b-fxsin%cf%80x-2-c-fxsin%cf%80x-4-d-none-of-these/ 2026-04-18T05:14:46+00:00 monthly 0.2 https://www.ravikantsir.in/let-fz%e2%86%92z-be-given-by-fx-x-2-if-x-is-even-0-if-x-is-odd-then-f-is-a-onto-but-not-one-one-b-one-one-but-not-onto-c-one-one-and-onto-d-neither-one-one/ 2026-04-18T05:16:05+00:00 monthly 0.2 https://www.ravikantsir.in/the-function-f-r-%e2%86%92-r-defined-by-fx-6x6%e2%88%a3x%e2%88%a3-is-a-one-one-and-onto-b-many-one-and-onto-c-one-one-and-into-d-many-one-and-into/ 2026-04-18T05:17:43+00:00 monthly 0.2 https://www.ravikantsir.in/let-fxx2-and-gx2x-then-the-solution-set-of-the-equation-fogx-gof-x-is-a-r-b-0-c-0-2-d-none-of-these/ 2026-04-18T05:19:01+00:00 monthly 0.2 https://www.ravikantsir.in/if-fr%e2%86%92r-is-given-by-fx3x%e2%88%925-then-f%e2%88%921x-a-is-given-by-1-3x%e2%88%925-b-is-given-by-x5-3-c-does-not-exist-because-f-is-not-one-one-d-does-not-exist-because-f-is-no/ 2026-04-18T05:20:21+00:00 monthly 0.2 https://www.ravikantsir.in/if-gfx%e2%88%a3sinx%e2%88%a3-and-fgxsin%e2%88%9ax2-then-a-fxsin2x-gx%e2%88%9ax-b-fxsinxgx%e2%88%a3x%e2%88%a3-c-fxx2gxsin%e2%88%9ax-d-f-and-f-cannot-be-determin/ 2026-04-18T05:21:36+00:00 monthly 0.2 https://www.ravikantsir.in/the-inverse-of-the-function-fr%e2%86%92x%e2%88%88rx-less-than1-given-by-fx-ex%e2%88%92e%e2%88%92x-exe%e2%88%92x-is/ 2026-04-18T05:23:04+00:00 monthly 0.2 https://www.ravikantsir.in/let-ax%e2%88%88rx%e2%89%a51-the-inverse-of-the-function-fa%e2%86%92a-given-by-fx2xx%e2%88%921-is/ 2026-04-18T05:24:28+00:00 monthly 0.2 https://www.ravikantsir.in/let-ax%e2%88%88rx%e2%89%a41-and-fa%e2%86%92-a-given-by-fxx2%e2%88%92x-then-f%e2%88%921x-is-a-1-%e2%88%9a1-x-b-1-%e2%88%9a1-x-c-%e2%88%9a1-x-d-1%c2%b1%e2%88%9a1-x/ 2026-04-18T05:25:45+00:00 monthly 0.2 https://www.ravikantsir.in/let-fx-1-1%e2%88%92x-then-fofofx-a-x-for-all-x%e2%88%88r-b-x-for-all-x%e2%88%88r%e2%88%921-c-x-for-all-x%e2%88%88r%e2%88%9201-d-none-of-these/ 2026-04-18T05:27:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-function-fr%e2%86%92r-be-such-that-fxx%e2%88%92x-where-x-denotes-the-greatest-integer-less-than-or-equal-to-x-then-f%e2%88%921x-is-a-1-x-x-b-x-x-c-not-defined-d-non/ 2026-04-18T05:28:46+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-1%e2%88%9e%e2%86%922%e2%88%9e-is-given-by-fx-x-1-x-then-f%e2%88%921x-equals/ 2026-04-18T05:30:24+00:00 monthly 0.2 https://www.ravikantsir.in/let-gx1x%e2%88%92x-and-fx%e2%88%921-x-less-than0-0-x0-1-x-greater-than-0-where-x-denotes-the-greatest-integer-less-than-or-equal-to-x-then-for-all-x/ 2026-04-18T05:31:55+00:00 monthly 0.2 https://www.ravikantsir.in/let-fx-%ce%b1x-x1-x-%e2%89%a0-%e2%88%921-then-for-what-value-of-a-is-ffx-x-a-%e2%88%9a2-b-%e2%88%9a2-c-1-d-1/ 2026-04-18T05:33:38+00:00 monthly 0.2 https://www.ravikantsir.in/the-distinct-linear-functions-which-map-1-1-onto-0-2-are-a-fx-x-1-gx-x-1-b-fx-x-1-gx-x-1-c-fx-x-1-gx-x/ 2026-04-18T05:34:52+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-2-%e2%88%9e-%e2%86%92-x-be-defined-by-fx-4x%e2%88%92x2-then-f-is-invertible-if-x-a-2%e2%88%9e-b-%e2%88%9e-2-c-%e2%88%9e-4-d-4%e2%88%9e/ 2026-04-18T05:36:20+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-r%e2%86%92%e2%88%9211-is-defined-by-fx%e2%88%92x%e2%88%a3x%e2%88%a3-1x2-then-f%e2%88%921x-equals/ 2026-04-18T05:37:43+00:00 monthly 0.2 https://www.ravikantsir.in/let-x-denote-the-greatest-integer-less-than-or-equal-to-x-if-fxsin%e2%88%921x-gxx2-and-hx2x-1-2%e2%89%a4x%e2%89%a41-%e2%88%9a2-then/ 2026-04-18T05:39:25+00:00 monthly 0.2 https://www.ravikantsir.in/if-gx-x2-x-%e2%88%92-2-and-1-2-gofx-2x2-%e2%88%92-5x-2-then-fx-is-equal-to/ 2026-04-18T05:40:41+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-sin2-x-and-the-composite-function-gfx-%e2%88%a3sinx%e2%88%a3-then-gx-is-equal-to-a-%e2%88%9ax-1-b-%e2%88%9ax-c-%e2%88%9ax1-d-%e2%88%9ax/ 2026-04-18T05:41:57+00:00 monthly 0.2 https://www.ravikantsir.in/if-f-r%e2%86%92r-is-given-by-fx-x3-3-then-f%e2%88%921x-is-equal-to-a-x1-3-3-b-x1-3-3-c-x-31-3-d-x-31-3/ 2026-04-18T05:43:15+00:00 monthly 0.2 https://www.ravikantsir.in/let-fx-x3-be-a-function-with-domain-0-1-2-3-then-domain-of-f%e2%88%921-is-a-3-2-1-0-b-0-1-2-3-c-0-1-8-27-d-0-1-8-27/ 2026-04-18T05:44:34+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r%e2%86%92r-be-given-by-fx-x2-3-then-f-1-is-given-by-a-%e2%88%9ax-3-b-%e2%88%9ax-3-c-x-%e2%88%9a3-d-none-of-these/ 2026-04-18T05:45:43+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r%e2%86%92r-be-given-by-fxtan-x-then-f-11-is-a-%cf%80-4-b-n%cf%80%cf%80-4-n%e2%88%88z-c-does-not-exist-d-none-of-these/ 2026-04-18T05:47:05+00:00 monthly 0.2 https://www.ravikantsir.in/let-fr%e2%86%92r-be-defined-as-fx-2x-if-x-greater-than-3-x2-if-1-x%e2%89%a43-3x-if-x%e2%89%a41then-find-f-1f2f4/ 2026-04-18T05:48:48+00:00 monthly 0.2 https://www.ravikantsir.in/let-a12n-and-bab-then-the-number-of-subjections-from-a-into-b-is-a-np2-b-2n-2-c-2n-1-d-nc2/ 2026-04-18T05:50:08+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-set-a-contains-5-elements-and-the-set-b-contains-6-elements-then-the-number-of-one-one-and-onto-mappings-from-a-to-b-is-a-720-b-120-c-0-d-none-of-these/ 2026-04-18T05:51:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-set-a-contains-7-elements-and-the-set-b-contains-10-elements-then-the-number-one-one-functions-from-a-to-b-is-a-10c7-b-10c7-x7-c-710-d-107/ 2026-04-18T05:52:40+00:00 monthly 0.2 https://www.ravikantsir.in/let-f-r-3-5%e2%86%92r-be-defined-by-fx-3x2-5x-3-then/ 2026-04-18T05:54:05+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-not-%e2%80%b2%e2%8b%86%e2%80%b2on-n-defined-by-a%e2%88%97bab-%e2%88%80-ab%e2%88%88n/ 2026-04-19T10:47:59+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-noto-on-z-defined-by-aobab-%e2%88%80-ab%e2%88%88-z/ 2026-04-19T10:17:12+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-not-on-n-defined-by-abab-2-%e2%88%80-ab%e2%88%88-n/ 2026-04-19T10:19:41+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-not-x6-on-s12345-defined-by-ax6b-remainder-when-ab-is-divided-by-6/ 2026-04-19T10:21:04+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-not-6%e2%80%b2ons012345-defined-by-a6bab-if-ab-less-than-6-ab-6-if-ab%e2%89%a56/ 2026-04-19T10:22:26+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-not-o-on-n-defined-by-aobabba-%e2%88%80-ab%e2%88%88n/ 2026-04-19T10:23:46+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-the-operation-define-a-binary-operation-or-not-on-q-defined-by-a%e2%88%97ba-1-b1-%e2%88%80-ab%e2%88%88q/ 2026-04-19T10:25:11+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-or-not-definition-given-below-gives-a-binary-operation-in-the-event-that-is-not-a-binary-operation-give-justification-of-this-on-z-defined-by-ab-a-b-here-z-denote/ 2026-04-19T10:26:28+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-or-not-each-definition-given-below-gives-a-binary-operation-in-the-event-that-is-not-a-binary-operation-give-justification-of-this-on-z-defined-by-ab-ab-here/ 2026-04-19T10:27:50+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-or-not-each-definition-given-below-gives-a-binary-operation-in-the-event-that-is-not-a-binary-operation-give-justification-of-this-on-r-defined-by-ab-ab2-here-z/ 2026-04-19T10:29:34+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-or-not-each-definition-given-below-gives-a-binary-operation-in-the-event-that-is-not-a-binary-operation-give-justification-of-this-on-z-defined-by-ab-a-b/ 2026-04-19T10:30:55+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-or-not-each-definition-given-below-gives-a-binary-operation-in-the-event-that-is-not-a-binary-operation-give-justification-of-this-on-z-defined-by-ab-a-here/ 2026-04-19T10:32:15+00:00 monthly 0.2 https://www.ravikantsir.in/determine-whether-or-not-each-definition-given-below-gives-a-binary-operation-in-the-event-that-is-not-a-binary-operation-give-justification-of-this-on-r-defined-by-ab-a-4b2-here-z/ 2026-04-19T10:33:32+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-the-set-i-of-integers-defined-by-ab-2ab-3-find-the-value-of-34/ 2026-04-19T10:34:41+00:00 monthly 0.2 https://www.ravikantsir.in/is-defined-on-the-set-12345-by-ab-lcm-of-a-and-b-a-binary-operation-justify-your-answer/ 2026-04-19T10:35:59+00:00 monthly 0.2 https://www.ravikantsir.in/let-s-abc-find-the-total-number-of-binary-operations-on-s/ 2026-04-19T10:38:05+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-total-number-of-binary-operations-on-a-b/ 2026-04-19T10:39:23+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-the-operation-on-the-set-m-a-00-b-a-b-%e2%88%88-r-0-defined-by-ab-ab-is-a-binary-operation/ 2026-04-19T10:40:49+00:00 monthly 0.2 https://www.ravikantsir.in/let-s-be-the-set-of-all-rational-numbers-of-the-form-m-n-where-m%e2%88%88z-and-n-123-prove-that-on-s-defined-by-ab-ab-is-not-a-binary-operation/ 2026-04-19T10:42:14+00:00 monthly 0.2 https://www.ravikantsir.in/the-binary-operation-defined-on-rxr-%e2%86%92-r-is-defined-as-ab-2a-b-find-2-3-4/ 2026-04-19T10:43:28+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-n-given-by-ab-lcma-b-for-all-a-b%e2%88%88-n-find-5-7/ 2026-04-19T10:44:39+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-n-defined-by-ab-l-c-mab-for-all-a-b-%e2%88%88n-find-i-24-35-16-iicheck-the-commutativity-and-associativity-of-on-n/ 2026-04-19T11:40:57+00:00 monthly 0.2 https://www.ravikantsir.in/determine-the-binary-operations-are-associative-and-which-are-commutative-on-n-defined-by-ab1-%e2%88%80-ab%e2%88%88-n/ 2026-04-19T10:50:26+00:00 monthly 0.2 https://www.ravikantsir.in/determine-which-of-the-following-binary-operations-are-associative-and-which-are-commutative-on-q-defined-by-a%e2%88%97b-a-b-2-for-all-a-b%e2%88%88-q/ 2026-04-19T10:52:11+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-be-any-set-containing-more-than-one-element-let-be-a-binary-operation-on-a-defined-by-ab-b-for-all-a-b-%e2%88%88a-is-commutative-or-associative-on-a/ 2026-04-19T10:53:34+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-z-defined-by-ab-a-b-ab-%e2%88%80-a-b-%e2%88%88z/ 2026-04-19T10:54:53+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-n-defined-by-ab-2ab-%e2%88%80-a-b-%e2%88%88n/ 2026-04-19T11:03:52+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-ab-a-b-for-all-a-b-%e2%88%88q/ 2026-04-19T11:05:15+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations%ce%bf-on-q-defined-by-a%ce%bfb-a2-b2-for-all-a-b-%e2%88%88q/ 2026-04-19T11:06:36+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-o-on-q-defined-by-a-o-b-ab-2-for-all-a-b-%e2%88%88-q/ 2026-04-19T11:07:56+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-ab-ab2-for-all-ab%e2%88%88q/ 2026-04-19T11:09:16+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-ab-a-ab-for-all-a-b-%e2%88%88q/ 2026-04-19T11:10:44+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-r-defined-by-ab-a-b-7-%e2%88%80-a-b-%e2%88%88r/ 2026-04-19T11:12:11+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-aba-b2-%e2%88%80-a-b-%e2%88%88q/ 2026-04-19T11:14:01+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-ab-ab-1-%e2%88%80-a-b-%e2%88%88q/ 2026-04-19T11:15:21+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-n-defined-by-a%e2%8b%85b-ab-%e2%88%80-a-b-%e2%88%88-n/ 2026-04-19T11:16:44+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-z-defined-by-aba-b-%e2%88%80-a-b-%e2%88%88z/ 2026-04-19T11:18:17+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-ab-ab-4-%e2%88%80-a-b-%e2%88%88q/ 2026-04-19T11:19:45+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-z-defined-by-ab-a-b-ab-%e2%88%80-a-b-%e2%88%88z-2/ 2026-04-19T11:21:02+00:00 monthly 0.2 https://www.ravikantsir.in/check-the-commutativity-and-associativity-of-the-binary-operations-on-q-defined-by-ab-gcda-b-%e2%88%80-a-b-%e2%88%88n/ 2026-04-19T11:24:37+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-binary-operation-%ce%bf-is-defined-by-a%ce%bfb-a-b-ab-on-the-set-q-1-of-all-rational-numbers-other-than-1-show-that-%ce%bf-is-commutative-on-q-1/ 2026-04-19T11:26:21+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-binary-operation-on-z-defined-by-ab-3a-7b-is-not-commutative/ 2026-04-19T11:27:37+00:00 monthly 0.2 https://www.ravikantsir.in/on-the-set-z-of-integers-a-binary-operation-is-defined-by-ab-ab-1-for-all-a-b-%e2%88%88z-prove-that-is-not-associative-on-z/ 2026-04-19T11:29:21+00:00 monthly 0.2 https://www.ravikantsir.in/let-s-be-the-set-of-all-real-numbers-except-1-and-let-be-an-operation-defined-by-ab-a-b-ab-for-all-a-b-%e2%88%88s-determine-whether-is-a-binary-opera/ 2026-04-19T11:30:59+00:00 monthly 0.2 https://www.ravikantsir.in/on-q-the-set-of-all-rational-numbers-is-defined-by-a%e2%88%97b-a-b-2-show-that-is-not-associative/ 2026-04-19T11:32:20+00:00 monthly 0.2 https://www.ravikantsir.in/on-z-the-set-of-all-integers-a-binary-operation-is-defined-by-ab-a-3b-4-prove-that-is-neither-commutative-nor-associative-on-z/ 2026-04-19T11:33:42+00:00 monthly 0.2 https://www.ravikantsir.in/on-the-set-q-of-all-rational-numbers-if-a-binary-operation-is-defined-by-a%e2%88%97bab-5-prove-that-is-associative-on-q/ 2026-04-19T11:35:03+00:00 monthly 0.2 https://www.ravikantsir.in/the-binary-operation-is-defined-by-a%e2%88%97bab-7-on-the-set-q-if-all-rational-numbers-show-that-is-associative/ 2026-04-19T11:36:31+00:00 monthly 0.2 https://www.ravikantsir.in/on-q-the-set-of-all-rational-numbers-a-binary-operation-is-defined-by-a%e2%88%97b-ab-2-show-that-is-not-associative-on-q/ 2026-04-19T11:38:03+00:00 monthly 0.2 https://www.ravikantsir.in/let-s-be-the-set-of-all-rational-numbers-except-1-and-be-defined-on-s-by-ab-a-b-ab-for-all-a-b-%e2%88%88s-prove-that-i-is-a-binary-operation-on-s-ii-is-commutative-as-well-as-associ/ 2026-04-19T11:39:19+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-identity-element-in-the-set-i-of-all-positive-integers-defined-by-ab-a-b-for-all-ab%e2%88%88i/ 2026-04-19T11:50:45+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-identity-element-in-the-set-of-all-rational-numbers-except-1-with-respect-to-defined-by-ab-a-b-ab/ 2026-04-19T11:46:59+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-binary-operation-on-the-set-z-is-defined-by-ab-a-b-5-then-find-the-identity-element-with-respect-to/ 2026-04-19T11:48:24+00:00 monthly 0.2 https://www.ravikantsir.in/on-the-set-z-of-integers-if-the-binary-operation-is-defined-by-ab-a-b-2-then-find-the-identity-element/ 2026-04-19T11:49:41+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-z-defined-by-a-b-a-b-4-for-all-a-b-%e2%88%88-z-i-show-that-is-both-commutative-and-associative-ii-find-the-identity-element/ 2026-04-19T12:08:33+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-q0-set-of-non-zero-rational-numbers-defined-by-a-b-3ab-5-for-all-a-b-%e2%88%88-q0-show-that-is-commutative-as-well-as-associative-also-find-its-identity-eleme/ 2026-04-19T11:56:23+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-q-1-defined-by-a-b-a-b-ab-for-all-a-b-%e2%88%88-q-1-then-i-show-that-is-both-commutative-and-associative-on-q/ 2026-04-19T11:57:53+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-r0-x-r-where-r0-denote-the-set-of-all-non-zero-real-numbers-a-binary-operation-o-is-defined-on-a-as-follows-a-b-o-c-d-ac-bc-d-for-all-a/ 2026-04-19T11:59:55+00:00 monthly 0.2 https://www.ravikantsir.in/let-o-be-a-binary-operation-on-the-set-q0-if-all-non-zero-rational-numbers-defined-by-a-o-b-ab-2-for-all-a-b-%e2%88%88-q0-i-show-that-o-is-both-commutative/ 2026-04-19T12:01:37+00:00 monthly 0.2 https://www.ravikantsir.in/on-r-1-a-binary-operation-is-defined-by-a-b-a-b-ab-prove-that-is-commutative-and-associative-find-the-identity-element-for-on-r-1-also-prove-that-every-element-of-r-1-is/ 2026-04-19T12:03:10+00:00 monthly 0.2 https://www.ravikantsir.in/let-r0-denote-the-set-of-all-non-zero-real-numbers-and-let-ar0xr0-if-0-is-a-binary-operation-on-a-defined-by-a-b0c-d-ac-bd-c-d%e2%88%88a-i-show-that-0/ 2026-04-19T12:04:44+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-the-binary-operation-on-n-defined-by-a-b-hcf-of-a-and-b-does-there-exist-identity-for-this-binary-operation-on-n/ 2026-04-19T12:07:05+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-rxr-and-be-a-binary-operation-on-a-defined-by-a-b-c-d-a-c-b-d-show-that-is-commutative-and-associative-find-the-binary-element-for-on-a-if-any/ 2026-04-19T12:08:32+00:00 monthly 0.2 https://www.ravikantsir.in/construct-the-composition-table-for-x4-on-set-s-0-1-2-3/ 2026-04-20T05:09:20+00:00 monthly 0.2 https://www.ravikantsir.in/construct-the-composition-table-for-5-on-set-s-0-1-2-3-4/ 2026-04-20T04:53:01+00:00 monthly 0.2 https://www.ravikantsir.in/construct-the-composition-table-for-x6-on-set-s-0-1-2-3-4-5/ 2026-04-20T04:54:41+00:00 monthly 0.2 https://www.ravikantsir.in/construct-the-composition-table-for-x5-on-z5-0-1-2-3-4/ 2026-04-20T04:57:52+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-binary-operation-x10-on-set-s-1-3-7-9-find-the-inverse-of-3/ 2026-04-20T04:59:22+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-binary-operation-x7-on-the-set-s-1-2-3-4-5-6-compute-3-1-x7-4/ 2026-04-20T05:00:39+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-inverse-of-5-under-multiplication-modulo-11-on-z11/ 2026-04-20T05:02:01+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-multiplication-table-for-the-set-of-integers-modulo-5/ 2026-04-20T05:03:24+00:00 monthly 0.2 https://www.ravikantsir.in/consider-the-binary-operation-and-0-defined-by-the-following-tables-on-set-s-a-b-c-d-a-b-c-d-a-a-b-c-d-b-b-a-d-c-c-c-d-a-b-d-d-c-b-a/ 2026-04-20T05:04:51+00:00 monthly 0.2 https://www.ravikantsir.in/consider-the-binary-operation-and-0-defined-by-the-following-tables-on-set-s-a-b-c-d-0-a-b-c-d-a-a-a-a-a-b-a-b-c-d-c-a-c-d-b-d-a-d-b-c/ 2026-04-20T05:06:39+00:00 monthly 0.2 https://www.ravikantsir.in/define-a-binary-operation-on-the-set-0-1-2-3-4-5-as-abab-if-ab-less-than-6-ab-6-if-ab%e2%89%a56-show-that-zero-is-the-identity-for-this-operation-and-each-element/ 2026-04-20T05:08:11+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-identity-element-for-the-binary-operation-on-the-set-r0-of-all-non-zero-real-numbers-by-the-rule-abab-2-%e2%88%80-ab-%e2%88%88r0/ 2026-04-20T06:36:10+00:00 monthly 0.2 https://www.ravikantsir.in/on-the-set-z-of-all-integers-a-binary-operation-is-defined-by-a-b-a-b-2-for-all-a-b-%e2%88%88-z-write-the-inverse-of-4/ 2026-04-20T05:15:49+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-total-number-of-binary-operations-on-a-set-consisting-of-two-elements/ 2026-04-20T05:17:06+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-identity-element-for-the-binary-operation-defined-on-the-set-r-of-all-real-numbers-by-the-rule-ab-3ab-7-%e2%88%80-a-b-%e2%88%88r/ 2026-04-20T05:18:29+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-the-set-of-all-non-zero-real-numbers-given-by-a%e2%88%97b-ab-5-for-all-a-b-%e2%88%88r%e2%88%920-write-the-value-of-x-given-by-2%e2%88%97x%e2%88%97510/ 2026-04-20T05:19:42+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-inverse-of-5-under-multiplication-modulo-11-on-the-set-1-2-10/ 2026-04-20T05:21:06+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-composition-table-for-the-binary-operation-multiplication-modulo-10x10-on-the-set-s-2-4-6-8/ 2026-04-20T05:22:35+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-binary-operation-multiplication-modulo-10x10-defined-on-the-set-s-1-3-7-9-write-the-inverse-of-3/ 2026-04-20T05:24:23+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-binary-operation-multiplication-modulo-5x5-defined-on-the-set-s-1-2-3-4-write-the-value-of-3x54-1-1/ 2026-04-20T05:25:59+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-composition-table-for-the-binary-operation-x5-multiplication-modulo-5-on-the-set-s-0-1-2-3-4/ 2026-04-20T05:27:32+00:00 monthly 0.2 https://www.ravikantsir.in/a-binary-operation-is-defined-on-the-set-r-of-all-real-numbers-by-the-rule-a%e2%88%97b%e2%88%9aa2b2-for-all-ab%e2%88%88r-write-the-identity-element-for-on-r/ 2026-04-20T06:27:27+00:00 monthly 0.2 https://www.ravikantsir.in/let-6-addition-modulo-6-be-a-binary-operation-on-s012345-write-the-value-of-264-163-1/ 2026-04-20T06:29:43+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-defined-by-a-b-3a-4b-2-find-4-5/ 2026-04-20T06:31:10+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-binary-operation-on-the-set-z-of-integers-is-defined-by-a-b-a-3b2-find-the-value-of-2-4/ 2026-04-20T06:32:27+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-n-given-by-a-b-hcf-a-b-a-b-%e2%88%88-n-write-the-value-of-22-4/ 2026-04-20T06:33:49+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-set-of-integers-i-defined-by-a-b-2a-b-3-find-the-value-of-3-4/ 2026-04-20T06:35:05+00:00 monthly 0.2 https://www.ravikantsir.in/if-a%e2%88%97b-a2-b2-then-the-value-of-4%e2%88%975%e2%88%973-is-a-42-52-32-b-452-32-c-412-32-d-4-5-32/ 2026-04-20T06:39:52+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-b-denote-the-bigger-among-a-and-b-and-if-a-%e2%8b%85-b-a-b-3-then-4-7-a-14-b-31-c-10-d-8/ 2026-04-20T06:41:48+00:00 monthly 0.2 https://www.ravikantsir.in/on-the-power-set-p-of-a-non-empty-set-a-we-define-an-operation-%ce%b4-byx%ce%b4yx%e2%88%a9y%e2%88%aax%e2%88%a9ythen-which-are-of-the-following-statements-is-true-about-%ce%b4-a-commutative-and/ 2026-04-20T06:43:22+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-binary-operation-on-z-is-defined-by-a%e2%8b%85ba2-b2-ab-4-then-value-of-2-3-4-is-a-233-b-33-c-55-d-55/ 2026-04-20T06:44:56+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-binary-operation-on-z-defined-by-a-b-a-b-1-the-identity-element-is-a-0-b-1-c-1-d-2/ 2026-04-20T06:46:31+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-binary-operation-is-defined-on-the-set-z-of-integers-as-a-b-3a-b-then-the-value-of-2-3-4-is-a-2-b-3-c-4-d-5/ 2026-04-20T06:47:43+00:00 monthly 0.2 https://www.ravikantsir.in/q-denote-the-set-of-all-positive-rational-numbers-if-the-binary-operation-%e2%8a%99-on-q-is-defined-as-a-a%e2%8a%99b-ab-2-then-the-inverse-of-3-is-a-4-3-b-2-c-1-3-d-2-3/ 2026-04-20T06:49:11+00:00 monthly 0.2 https://www.ravikantsir.in/if-g-is-the-set-of-all-matrices-of-the-form-x-x-x-x-where-x%e2%88%88r-0-then-the-identity-element-with-respect-to-the-multiplication-of-matrices-as-binary-operation-is/ 2026-04-20T06:50:41+00:00 monthly 0.2 https://www.ravikantsir.in/q-is-the-set-of-all-positive-rational-numbers-with-the-binary-operation-defined-by-a%e2%88%97b-ab-2-for-all-a-b-%e2%88%88q-the-inverse-of-an-element-a-%e2%88%88q-is-a-a-b-1-a-c-2-a/ 2026-04-20T06:52:02+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-binary-operation-%e2%8a%99-is-defined-on-the-se-tq-of-all-positive-rational-numbers-by-a%e2%8a%99b-ab-4-then-3%e2%8a%991-5%e2%8a%991-2-is-equal-to-a-3-160-b-5-160-c-3-10-d-3-40/ 2026-04-20T11:54:47+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-defined-on-set-q-1-by-the-rule-a%e2%88%97b-a-b-ab-then-the-identity-element-for-%e2%88%97-is-a-1-b-a-1-a-c-a-a-1-d-0/ 2026-04-20T11:23:32+00:00 monthly 0.2 https://www.ravikantsir.in/which-of-the-following-is-true-a-%e2%88%97-defined-by-a%e2%88%97bab-2-is-a-binary-operation-on-z-b-defined-by-a%e2%88%97bab-2-is-a-binary-operation-on-q-c-all-binary-commutative-operati/ 2026-04-20T11:25:16+00:00 monthly 0.2 https://www.ravikantsir.in/the-binary-operation-defined-on-n-by-a-b-a-b-ab-for-all-a-b-%e2%88%88-n-is-a-commutative-only-b-associative-only-c-commutative-and-associative-both-d-none-of-these/ 2026-04-20T11:26:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-binary-operation-is-defined-by-a%e2%8b%85b-a2-b2-ab-1-then-2-3-2-is-equal-to-a-20-b-40-c-400-d-445/ 2026-04-20T11:28:11+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-r-defined-by-a-b-ab-1-then-is-a-commutative-but-not-associative-b-associative-but-not-commutative-c-neither-commutative-nor-associative-d-both-commutat/ 2026-04-20T11:29:42+00:00 monthly 0.2 https://www.ravikantsir.in/subtraction-of-integers-is-a-commutative-but-not-associative-b-commutative-and-associative-c-associative-but-not-commutative-d-neither-commutative-nor-associative/ 2026-04-20T11:31:15+00:00 monthly 0.2 https://www.ravikantsir.in/the-law-a-b-b-a-is-called-a-closure-law-b-associative-law-c-commutative-law-d-distributive-law/ 2026-04-20T11:33:11+00:00 monthly 0.2 https://www.ravikantsir.in/an-operation-is-defined-on-the-set-z-of-non-zero-integers-by-a%e2%88%97b-a-b-for-all-a-b-%e2%88%88z-then-the-property-satisfied-is-a-closure-b-commutative-c-associative-d-none-of-these/ 2026-04-20T11:34:40+00:00 monthly 0.2 https://www.ravikantsir.in/on-z-an-operation-is-defined-by-a%e2%8b%85b-a2-b2-for-all-a-b-%e2%88%88-z-the-operation-on-z-is-a-commutative-and-associative-b-associative-but-not-commutative-c-not-associative-d/ 2026-04-20T11:36:36+00:00 monthly 0.2 https://www.ravikantsir.in/a-binary-operation-on-z-defined-by-a-b-3a-b-for-all-a-b-%e2%88%88-z-is-a-commutative-b-associative-c-not-commutative-d-commutative-and-associative/ 2026-04-20T11:38:40+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-q-defined-by-a%e2%88%97b-ab-100-for-all-a-b-%e2%88%88q-the-inverse-of-0-1-is-a-105-b-104-c-106-d-none-of-these/ 2026-04-20T11:40:04+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-on-n-defined-by-a-b-a-b-10-for-all-a-b-%e2%88%88-n-the-identity-element-for-in-n-is-a-10-b-0-c-10-d-non-existent/ 2026-04-20T11:42:05+00:00 monthly 0.2 https://www.ravikantsir.in/consider-the-binary-operation-defined-on-q-1-by-the-rule-a-b-a-b-ab-for-all-a-b-%e2%88%88-q-1-the-identity-element-in-q-1-is-a-0-b-1-c-1-2-d-1/ 2026-04-20T11:43:42+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-binary-operation-defined-on-r-1-by-the-rule-a%e2%88%97b-a-b-ab-for-all-a-b-%e2%88%88r%e2%88%921-the-inverse-of-a-is-a-a-b-a-a1-c-1-a-d-a2/ 2026-04-20T11:46:17+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-multiplication-of-matrices-as-a-binary-operation-on-the-set-of-all-matrices-of-the-form-a-b-b-a-a-b-%e2%88%88r-the-inverse-of-2-33-2/ 2026-04-20T11:47:48+00:00 monthly 0.2 https://www.ravikantsir.in/on-the-set-q-of-all-positive-rational-numbers-a-binary-operation-is-defined-by-a%e2%88%97b-ab-2-for-all-a-b-%e2%88%88q-the-inverse-of-8-is-a-1-8-b-1-2-c-2-d-4/ 2026-04-20T11:49:11+00:00 monthly 0.2 https://www.ravikantsir.in/let-be-a-binary-operation-defined-on-q-by-the-rule-a%e2%88%97b-ab-3-for-all-a-b-%e2%88%88q-the-inverse-of-4%e2%88%976-is-a-9-8-b-2-3-c-3-2-d-none-of-these/ 2026-04-20T11:50:58+00:00 monthly 0.2 https://www.ravikantsir.in/the-number-of-binary-operation-that-can-be-defined-on-a-set-of-2-elements-is-a-8-b-4-c-16-d-64/ 2026-04-20T11:52:23+00:00 monthly 0.2 https://www.ravikantsir.in/the-number-of-commutative-binary-operations-that-can-be-defined-on-a-set-of-2-elements-is-a-8-b-6-c-4-d-2/ 2026-04-20T11:54:03+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1-%e2%88%9a3-2/ 2026-04-20T12:20:46+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1cos-2%cf%80-3/ 2026-04-20T12:00:19+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1%e2%88%9a3-1-2%e2%88%9a2/ 2026-04-20T12:02:19+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1%e2%88%9a31-2%e2%88%9a2/ 2026-04-20T12:04:19+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1cos3%cf%80-4/ 2026-04-20T12:05:44+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1tan5%cf%80-4/ 2026-04-20T12:07:14+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-11-2-2sin-11-%e2%88%9a2/ 2026-04-20T12:08:48+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sin-1cossin-1%e2%88%9a3-2/ 2026-04-20T12:10:13+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fxsin-1x2/ 2026-04-20T12:11:45+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fx-sin-1xsinx/ 2026-04-20T12:13:10+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fxsin-1%e2%88%9ax2-1/ 2026-04-20T12:14:43+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fxsin-1xsin-12x/ 2026-04-20T12:16:12+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-1xsin-1ysin-1zsin-1t-2%cf%80-the-find-the-value-of-x2-y2-z2-t2/ 2026-04-20T12:18:02+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-1x2-sin-1y2-sin-1z2-3-4-%cf%802-find-the-value-of-x2-y2-z2/ 2026-04-20T12:19:54+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-definition-of-fx-cos-1x2-4/ 2026-04-21T04:40:38+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fx-2cos-12x-sin-1x/ 2026-04-21T04:26:34+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fx-cos-1x-cos-x/ 2026-04-21T04:29:24+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principle-value-of-cos-1-%e2%88%9a3-2/ 2026-04-21T04:30:39+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principle-value-of-cos-1-1-%e2%88%9a2/ 2026-04-21T04:31:48+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principle-value-of-cos-1sin4%cf%80-3/ 2026-04-21T04:33:07+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cos-1tan3%cf%80-4/ 2026-04-21T04:35:16+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-values-evaluate-cos-11-2-2sin-11-2/ 2026-04-21T04:36:38+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-values-evaluate-cos-11-2-2sin-1-1-2/ 2026-04-21T04:37:56+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-values-evaluate-sin-1-1-2-2cos-1-%e2%88%9a3-2/ 2026-04-21T04:39:12+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-values-evaluate-sin-1-%e2%88%9a3-2-cos-1%e2%88%9a3-2/ 2026-04-21T04:40:30+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-tan-11-%e2%88%9a3/ 2026-04-22T01:47:02+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-tan-1-1-%e2%88%9a3/ 2026-04-22T01:36:58+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-tan-1cos-%cf%80-2/ 2026-04-22T01:38:22+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-tan-12cos-2%cf%80-3/ 2026-04-22T01:39:48+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-values-evaluate-tan-1-1cos-1-1-%e2%88%9a2/ 2026-04-22T01:41:03+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-values-evaluate-tan-12sin4cos-1%e2%88%9a3-2/ 2026-04-22T01:42:23+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-11-cos-1-1-2-sin-1-1-2/ 2026-04-22T01:43:36+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1-1-%e2%88%9a3-tan-1-%e2%88%9a3-tan-1sin-%cf%80-2/ 2026-04-22T01:44:58+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan5%cf%80-6-cos-1cos13%cf%80-6/ 2026-04-22T01:46:12+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-1-%e2%88%9a2/ 2026-04-22T01:49:28+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-12/ 2026-04-22T01:51:08+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-12sin-3%cf%80-4/ 2026-04-22T01:52:20+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-12tan3%cf%80-4/ 2026-04-22T01:53:45+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-value-evaluate-tan-1%e2%88%9a3-sec-1-2/ 2026-04-22T01:55:05+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-values-evaluate-sin-1-%e2%88%9a3-2-2sec-12tan-%cf%80-6/ 2026-04-22T01:56:29+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-sec-13x-1/ 2026-04-22T01:57:50+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-sec-1x-tan-1x/ 2026-04-22T01:59:06+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-12-2/ 2026-04-22T02:00:21+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-12sin-3%cf%80-4-2/ 2026-04-22T02:02:46+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-sec-12tan-3%cf%80-4/ 2026-04-22T02:04:07+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-evaluate-tan-1%e2%88%9a3-sec-1-2/ 2026-04-22T02:05:35+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principle-value-and-evaluate-sin-1-%e2%88%9a3-2-2sec-12tan%cf%80-6/ 2026-04-22T02:07:01+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-sec-13x-1-2/ 2026-04-22T02:09:04+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cosec-1-%e2%88%9a2/ 2026-04-22T12:19:46+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cosec-1-2/ 2026-04-22T12:21:18+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cosec-12-%e2%88%9a3/ 2026-04-22T12:22:50+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principle-value-of-cosec-12cos-2%cf%80-3/ 2026-04-22T12:24:11+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-set-of-values-of-cosec-1%e2%88%9a3-2/ 2026-04-22T12:26:00+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-value-evaluate-sin-1-%e2%88%9a3-2cosec-1-2-%e2%88%9a3/ 2026-04-22T12:27:25+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-value-evaluate-sec-1%e2%88%9a22cosec-1-%e2%88%9a2/ 2026-04-22T12:29:03+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-evaluate-sin-1cos2cosec-1-2/ 2026-04-22T12:31:47+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-principal-value-evaluate-cosec-12tan11%cf%80-6/ 2026-04-22T12:33:09+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cot-1-%e2%88%9a3/ 2026-04-23T00:08:12+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cot-1%e2%88%9a3/ 2026-04-22T23:56:16+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cot-1-1-%e2%88%9a3/ 2026-04-22T23:57:44+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-principal-value-of-cot-1tan-3%cf%80-4/ 2026-04-22T23:58:57+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-domain-of-fx-cot-x-cot-1-x/ 2026-04-23T00:00:08+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-11-%e2%88%9a3-cosec-1-2-sec-12-%e2%88%9a3/ 2026-04-23T00:01:23+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-12cossin-1%e2%88%9a3-2/ 2026-04-23T00:02:42+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1-2-%e2%88%9a3-2cot-1-1/ 2026-04-23T00:04:05+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1-1-%e2%88%9a3-cot-11-%e2%88%9a3-tan-1sin-%cf%80-2/ 2026-04-23T00:05:25+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-%cf%80-6/ 2026-04-23T01:51:12+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-7%cf%80-6/ 2026-04-23T00:11:29+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-5%cf%80-6/ 2026-04-23T00:12:46+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-13%cf%80-7/ 2026-04-23T00:13:56+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-17%cf%80-8/ 2026-04-23T00:15:18+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-17%cf%80-8-2/ 2026-04-23T00:16:36+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-3/ 2026-04-23T00:18:21+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-4/ 2026-04-23T00:19:34+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-12/ 2026-04-23T00:21:05+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-2/ 2026-04-23T00:22:51+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-%cf%80-4/ 2026-04-23T00:24:38+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-5%cf%80-4/ 2026-04-23T00:27:50+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-4%cf%80-3/ 2026-04-23T00:29:08+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-13%cf%80-6/ 2026-04-23T00:30:26+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-3/ 2026-04-23T00:45:14+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-4/ 2026-04-23T00:46:27+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-5/ 2026-04-23T00:47:38+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cos-1cos-12/ 2026-04-23T00:48:51+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-%cf%80-3/ 2026-04-23T00:50:16+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-6%cf%80-7/ 2026-04-23T00:51:33+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-7%cf%80-6/ 2026-04-23T00:52:50+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-9%cf%80-4/ 2026-04-23T00:53:59+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-1/ 2026-04-23T00:55:12+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-2/ 2026-04-23T00:56:34+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-4/ 2026-04-23T00:57:44+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan-1tan-12/ 2026-04-23T00:59:04+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-%cf%80-3/ 2026-04-23T01:00:13+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-2%cf%80-3/ 2026-04-23T01:01:29+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-5%cf%80-4/ 2026-04-23T01:02:40+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-7%cf%80-3/ 2026-04-23T01:03:54+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-9%cf%80-5/ 2026-04-23T01:05:07+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-7%cf%80-3-2/ 2026-04-23T01:06:17+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-13%cf%80-4/ 2026-04-23T01:07:33+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sec-1sec-25%cf%80-6/ 2026-04-23T01:08:53+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1cosec-%cf%80-4/ 2026-04-23T01:12:40+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1cosec-3%cf%80-4/ 2026-04-23T01:14:12+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1cosec-6%cf%80-5/ 2026-04-23T01:15:41+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1cosec-11%cf%80-6/ 2026-04-23T01:16:50+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1cosec-13%cf%80-6/ 2026-04-23T01:19:21+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cosec-1cosec-9%cf%80-4/ 2026-04-23T01:20:40+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-1cot-%cf%80-3/ 2026-04-23T01:21:49+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-1cot-4%cf%80-3/ 2026-04-23T01:23:09+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-1cot-9%cf%80-4/ 2026-04-23T01:24:59+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-1cot-19%cf%80-6/ 2026-04-23T01:26:34+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-1cot-8%cf%80-3/ 2026-04-23T01:27:53+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cot-1cot21%cf%80-4/ 2026-04-23T01:29:02+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-cot-1a-%e2%88%9ax2-a2-where-x-a/ 2026-04-23T01:30:25+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-tan-1x-%e2%88%9a1x2-x%e2%88%88r/ 2026-04-23T01:35:12+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-tan-1%e2%88%9a1x2-x-x-%e2%88%88r/ 2026-04-23T01:38:28+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-tan-1%e2%88%9a1x2-1-x-x%e2%89%a00/ 2026-04-23T01:39:54+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-tan-1%e2%88%9a1x2-1-x-x%e2%89%a00-2/ 2026-04-23T01:41:19+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-tan-1%e2%88%9aa-x-%e2%88%9aax-a-less-than-x-less-than-a/ 2026-04-23T01:42:27+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-tan-1x-a%e2%88%9aa2-x2-a-x-a/ 2026-04-23T01:43:42+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-sin-1x%e2%88%9a1-x2-%e2%88%9a2-1-2-x-1-%e2%88%9a2/ 2026-04-23T01:45:05+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-sin-1%e2%88%9a1x%e2%88%9a1-x-2-0-x-1/ 2026-04-23T01:46:32+00:00 monthly 0.2 https://www.ravikantsir.in/write-in-the-simplest-form-sin2tan-1%e2%88%9a1-x-%e2%88%9a1x/ 2026-04-23T01:48:05+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sinsin-17-25/ 2026-04-23T02:22:01+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sincos-15-13/ 2026-04-23T01:54:31+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sintan-124-7/ 2026-04-23T01:56:01+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sinsec-117-8/ 2026-04-23T01:58:25+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-coseccos-13-5/ 2026-04-23T02:00:21+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-secsin-112-13/ 2026-04-23T02:02:56+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tancos-18-17/ 2026-04-23T02:04:32+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tancos-18-17-2/ 2026-04-23T02:07:16+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cotcos-13-5/ 2026-04-23T02:08:51+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-costan-124-7/ 2026-04-23T02:10:31+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tancos-14-5-tan-12-3-17-6/ 2026-04-23T02:12:04+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-cossin-13-5-cot-13-2-6-5%e2%88%9a13/ 2026-04-23T02:13:24+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tansin-15-13-cos-13-5-63-16/ 2026-04-23T02:14:59+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-sincos-13-5sin-15-13-63-65/ 2026-04-23T02:16:31+00:00 monthly 0.2 https://www.ravikantsir.in/solve-cossin-1x-1-6/ 2026-04-23T02:18:24+00:00 monthly 0.2 https://www.ravikantsir.in/solve-cos2sin-1-x-0/ 2026-04-23T02:19:43+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cossin-1-7-25/ 2026-04-23T02:32:57+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-seccot-1-5-12/ 2026-04-23T02:26:00+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cotsec-1-13-5/ 2026-04-23T02:27:13+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tancos-1-7-25/ 2026-04-23T02:28:24+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-coseccot-1-12-5/ 2026-04-23T02:29:33+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-costan-1-3-4/ 2026-04-23T02:30:56+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sincos-1-3-5-cot-1-5-12/ 2026-04-23T02:32:18+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sintan-1x-tan-11-x-for-x-0/ 2026-04-24T00:05:19+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cotsin-13-4-sec-14-3/ 2026-04-23T23:42:46+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sintan-1x-tan-11-x-for-x-0-2/ 2026-04-23T23:44:57+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cottan-1a-cot-1a/ 2026-04-23T23:46:09+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cossec-1x-cosec-1x-x%e2%89%a51/ 2026-04-23T23:47:25+00:00 monthly 0.2 https://www.ravikantsir.in/if-cos-1x-cos-1y-%cf%80-4-find-the-value-of-sin-1x-sin-1y/ 2026-04-23T23:48:42+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-1x-sin-1y-%cf%80-3-and-cos-1x-cos-1y-%cf%80-6-find-the-values-of-x-and-y/ 2026-04-23T23:50:14+00:00 monthly 0.2 https://www.ravikantsir.in/if-cotcos-13-5-sin-1x-0-find-the-value-of-x/ 2026-04-23T23:51:29+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-1x2-cos-1x2-17%cf%802-36-find-x/ 2026-04-23T23:52:47+00:00 monthly 0.2 https://www.ravikantsir.in/solve-sinsin-11-5-cos-1x-1/ 2026-04-23T23:54:30+00:00 monthly 0.2 https://www.ravikantsir.in/solve-sin-1x-%cf%80-6-cos-1x/ 2026-04-23T23:55:47+00:00 monthly 0.2 https://www.ravikantsir.in/solve-4sin-1x-%cf%80-cos-1x/ 2026-04-23T23:57:02+00:00 monthly 0.2 https://www.ravikantsir.in/solve-tan-1x-2cot-1x-2%cf%80-3/ 2026-04-23T23:58:10+00:00 monthly 0.2 https://www.ravikantsir.in/solve-5tan-1x-3cot-1x-2%cf%80/ 2026-04-23T23:59:19+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-sin-112-13-cos-14-5-tan-163-16-%cf%80/ 2026-04-24T00:27:00+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tan-11-7tan-11-13-tan-12-9/ 2026-04-24T00:06:41+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tan-11-4tan-12-9-sin-11-%e2%88%9a5/ 2026-04-24T00:09:16+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-tan-1x-y-tan-1x-y-xy/ 2026-04-24T00:10:28+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-12x-tan-13x-n%cf%80-3%cf%80-4/ 2026-04-24T00:11:42+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-1x1-tan-1x-1-tan-18-31/ 2026-04-24T00:12:51+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-1x-1-tan-1x-tan-1x1-tan-13x/ 2026-04-24T00:15:14+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-11-x-1x-1-2tan-1x-0-where-x-0/ 2026-04-24T00:16:40+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-cot-1x-cot-1x2-%cf%80-12-where-x-0/ 2026-04-24T00:18:01+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-1x2-tan-1x-2-tan-18-79-x-0/ 2026-04-24T00:19:18+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-1x-2-tan-1x-3-%cf%80-4-0-x-%e2%88%9a6/ 2026-04-24T00:20:44+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-1x-2-x-4-tan-1x2-x4-%cf%80-4/ 2026-04-24T00:22:09+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-12x-tan-12-x-tan-12-3-where-x-less-than-%e2%88%9a3-or-x-%e2%88%9a3/ 2026-04-24T00:23:30+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-for-x-tan-1x-2-x-1-tan-1x2-x1-%cf%80-4/ 2026-04-24T00:24:50+00:00 monthly 0.2 https://www.ravikantsir.in/sum-the-following-series-tan-11-3-tan-14-33-tan-12n-1-122n-1/ 2026-04-24T00:26:17+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-cossin-13-5-sin-15-13/ 2026-04-24T00:28:37+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-sin-163-65-sin-15-13-cos-13-5/ 2026-04-24T00:30:36+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-sin-15-13-cos-13-5-tan-163-16/ 2026-04-24T00:31:52+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-9%cf%80-8-9-4sin-1-1-3-9-4sin-12%e2%88%9a2-3/ 2026-04-24T00:33:08+00:00 monthly 0.2 https://www.ravikantsir.in/solve-sin-1x-sin-12x-%cf%80-3/ 2026-04-24T00:34:22+00:00 monthly 0.2 https://www.ravikantsir.in/solve-cos-1x-sin-1x-2-%cf%80-6-0/ 2026-04-24T00:35:35+00:00 monthly 0.2 https://www.ravikantsir.in/38858-2/ 2026-04-24T01:09:52+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-equation-cos-1a-x-cos-1b-x-cos-11-b-cos-11-a/ 2026-04-24T01:17:49+00:00 monthly 0.2 https://www.ravikantsir.in/solve-cos-1%e2%88%9a3x-cos-1x-%cf%80-2/ 2026-04-24T01:16:00+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-cos-14-5-cos-112-13-cos-133-65/ 2026-04-24T01:17:10+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-2sin-13-5-tan-124-7/ 2026-04-24T12:10:34+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan2tan-11-5-%cf%80-4/ 2026-04-24T11:26:47+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-tan1-2sin-13-4/ 2026-04-24T11:28:16+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin1-2cos-14-5/ 2026-04-24T11:29:44+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin2tan-12-3-costan-1%e2%88%9a3/ 2026-04-24T11:31:15+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tan-11-4-tan-12-9-1-2cos-13-5-1-2sin-14-5/ 2026-04-24T11:32:46+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tan-12-3-1-2tan-112-5/ 2026-04-24T11:34:18+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-tan-11-7-2tan-11-3%cf%80-4/ 2026-04-24T11:35:52+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-sin-14-5-2tan-11-3-%cf%80-2/ 2026-04-24T11:37:31+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-2sin-13-5-tan-117-31-%cf%80-4/ 2026-04-24T11:38:57+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-2tan-11-5-tan-11-8-tan-14-7/ 2026-04-24T11:40:20+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-2tan-13-4-tan-117-31-%cf%80-4/ 2026-04-24T11:41:46+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-2tan-11-2-tan-11-7-tan-131-17/ 2026-04-24T11:43:05+00:00 monthly 0.2 https://www.ravikantsir.in/prove-the-result-4tan-11-5-tan-11-239-%cf%80-4/ 2026-04-24T11:44:40+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-12a-1a2-cos-11-b2-1b2-tan-12x-1-x2-then-prove-that-x-a-b-1ab/ 2026-04-24T11:46:07+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-tan-11-x2-2x-cot-11-x2-2x-%cf%80-2/ 2026-04-24T11:47:30+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-sintan-11-x2-2x-cot-11-x2-1x2-1/ 2026-04-24T11:49:16+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-12a-1a2-sin-12b-ab2-2tan-1x-prove-that-x-ab-1-ab/ 2026-04-24T11:51:15+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-2tan-1x-sin-12x-1x2-is-constant-for-x%e2%89%a51-find-that-constant/ 2026-04-24T11:52:43+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-the-tan-12cos2sin-11-2/ 2026-04-24T11:54:08+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-the-cossec-1x-cosec-1x-x-%e2%89%a5-1/ 2026-04-24T11:55:35+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-following-equation-for-x-tan-11-4-2tan-11-5-tan-11-6-tan-11-x-%cf%80-4/ 2026-04-24T11:57:08+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-following-equation-for-x-3sin-12x-1x2-4cos-11-x2-1x2-2tan-12x-1-x2-%cf%80-3/ 2026-04-24T11:58:32+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-following-equation-for-x-tan-12x-1-x2-cot-11-x2-2x-2%cf%80-3-x-0/ 2026-04-24T12:00:01+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-following-equation-for-x-2tan-1sin-x-tan-12sec-x-x-%e2%89%a0-%cf%80-2/ 2026-04-24T12:01:28+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-following-equation-for-x-cos-1x2-1-x21-1-2-tan-12x-1-x2-2%cf%80-3/ 2026-04-24T12:02:51+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-2tan-1x-2-x-1-tan-1x2-x1-%cf%80-4/ 2026-04-24T12:04:19+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-2tan-1%e2%88%9aa-b-%e2%88%9aab-tan%ce%b8-2-cos-1acos%ce%b8b-abcos%ce%b8/ 2026-04-24T12:06:28+00:00 monthly 0.2 https://www.ravikantsir.in/prove-that-tan-12ab-a2-b2-tan-12xy-x2-y2-tan-12%ce%b1%ce%b2-%ce%b12-%ce%b22-where-%ce%b1ax-by-and-%ce%b2aybx/ 2026-04-24T12:08:07+00:00 monthly 0.2 https://www.ravikantsir.in/for-any-a-b-x-y-greater-than-0-prove-that-2-3-tan-13ab2-a3-b3-3a2b-2-3-tan-13xy2-x3-y3-3x2y-tan-12%ce%b1%ce%b2-%ce%b12-%ce%b22-where-%ce%b1-axby-%ce%b2/ 2026-04-24T12:09:44+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin-1-%e2%88%9a3-2-cos-1-1-2/ 2026-04-25T03:37:39+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-difference-between-maximum-and-minimum-values-of-sin-1x-for-x-%e2%88%88-11/ 2026-04-25T01:18:44+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-1xsin-1y-sin-1z-3%cf%80-2-then-write-the-value-of-x-y-z/ 2026-04-25T01:20:22+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-greater-than-1-then-write-the-value-of-sin-12x-1x2-in-terms-of-tan-1-x/ 2026-04-25T01:22:34+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-less-than-0-then-write-the-value-of-cos-11-x2-1x2-in-terms-of-tan-1x/ 2026-04-25T01:23:59+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan-1x-tan-11-x-for-x-0/ 2026-04-25T01:25:41+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan-1x-tan-11-x-for-x-0-2/ 2026-04-25T01:27:02+00:00 monthly 0.2 https://www.ravikantsir.in/what-is-the-value-of-cos-1cos2%cf%80-3-sin-1sin2%cf%80-3/ 2026-04-25T01:28:14+00:00 monthly 0.2 https://www.ravikantsir.in/if-1-x-0-then-write-the-value-of-sin-12x-1x2-cos-11-x2-1x2/ 2026-04-25T01:29:38+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sincot-1x/ 2026-04-25T01:30:58+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-11-2-2sin-11-2/ 2026-04-25T01:33:12+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-range-of-tan-1-x/ 2026-04-25T01:34:24+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-1cos-1540/ 2026-04-25T01:35:43+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin-1sin-600/ 2026-04-25T01:36:57+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos2sin-11-3/ 2026-04-25T01:38:11+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin-1sin-1550/ 2026-04-25T01:39:20+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin1-2cos-14-5-2/ 2026-04-25T01:40:30+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sintan-13-4/ 2026-04-25T01:41:39+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-1tan-3%cf%80-4/ 2026-04-25T01:43:14+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos2sin-11-2/ 2026-04-25T01:44:23+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-1cos-350-sin-1sin-350/ 2026-04-25T01:45:31+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos21-2cos-13-5/ 2026-04-25T01:46:41+00:00 monthly 0.2 https://www.ravikantsir.in/if-tan-1x-tan-1y-%cf%80-4-then-write-the-value-of-x-y-xy/ 2026-04-25T01:47:54+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-1cos-6/ 2026-04-25T01:49:05+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin-1cos-%cf%80-9/ 2026-04-25T01:50:27+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin%cf%80-3-sin-1-1-2/ 2026-04-25T01:51:36+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan-1tan15%cf%80-4/ 2026-04-25T02:35:37+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-2sin-11-2-cos-1-1-2/ 2026-04-25T02:36:59+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan-1a-b-tan-1a-b-ab/ 2026-04-25T02:38:19+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-1cos-5%cf%80-4/ 2026-04-25T02:41:12+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-sin-12x%e2%88%9a1-x2-2sin-1x/ 2026-04-25T02:42:27+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-sin-1sin-3%cf%80-5/ 2026-04-25T02:43:36+00:00 monthly 0.2 https://www.ravikantsir.in/if-tan-1%e2%88%9a3-cot-1x-%cf%80-2-find-x/ 2026-04-25T02:44:51+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-11-3-cos-1x-%cf%80-2-then-find-x/ 2026-04-25T02:46:00+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin-11-3-cos-1-1-3/ 2026-04-25T02:47:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-4sin-1x-cos-1x-%cf%80-then-what-is-the-value-of-x/ 2026-04-25T02:48:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-0-y-0-such-that-xy-1-then-write-the-value-of-tan-1x-tan-1y/ 2026-04-25T02:50:11+00:00 monthly 0.2 https://www.ravikantsir.in/what-is-the-principal-value-of-sin-1-%e2%88%9a3-2/ 2026-04-25T02:51:19+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-principal-value-of-sin-1-1-2/ 2026-04-25T02:52:36+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-principal-value-of-cos-1cos-2%cf%80-3-sin-1sin-2%cf%80-3/ 2026-04-25T02:53:54+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan2tan-11-5/ 2026-04-25T02:55:04+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-principal-value-of-tan-11-cos-1-1-2/ 2026-04-25T02:56:13+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan-12sin2cos-1%e2%88%9a3-2/ 2026-04-25T02:57:29+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-principal-value-of-tan-1%e2%88%9a3-cot-1%e2%88%9a3/ 2026-04-25T02:58:46+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-principal-value-of-cos-1cos-680/ 2026-04-25T02:59:53+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sin-1sin3%cf%80-5/ 2026-04-25T03:01:07+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-sec-11-2/ 2026-04-25T03:02:37+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cos-1cos14%cf%80-3/ 2026-04-25T03:03:48+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cossin-1x-cos-1x-x-%e2%89%a4-1/ 2026-04-25T03:05:00+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-the-expression-tansin-1x-cos-1x-2-when-x-%e2%88%9a3-2/ 2026-04-25T03:06:13+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-principal-value-of-sin-1cossin-11-2/ 2026-04-25T03:07:26+00:00 monthly 0.2 https://www.ravikantsir.in/the-set-of-values-of-cosec-1%e2%88%9a3-2/ 2026-04-25T03:08:32+00:00 monthly 0.2 https://www.ravikantsir.in/the-set-of-values-of-cosec-1%e2%88%9a3-2-2/ 2026-04-25T03:09:48+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-tan-11-x-for-x-0-in-terms-of-cot-1x/ 2026-04-25T03:11:16+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-cot-1-x-for-all-x-%e2%88%88-r-in-terms-of-cot-1x/ 2026-04-25T03:12:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-costan-1-x-cot-1-%e2%88%9a3-0-find-the-value-of-x/ 2026-04-25T03:19:13+00:00 monthly 0.2 https://www.ravikantsir.in/write-the-value-of-costan-1x-cot-1x-3-when-x-1-%e2%88%9a3/ 2026-04-25T03:27:22+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-2sec-1-2-sin-11-2/ 2026-04-25T03:29:52+00:00 monthly 0.2 https://www.ravikantsir.in/if-cossin-12-5-cos-1x-0-find-the-value-of-x/ 2026-04-25T03:31:19+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-cos-1cos-13%cf%80-6/ 2026-04-25T03:32:36+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-tan-1tan9%cf%80-8/ 2026-04-25T03:34:55+00:00 monthly 0.2 https://www.ravikantsir.in/if-tan-1%e2%88%9a1x2-%e2%88%9a1-x2-%e2%88%9a1x2%e2%88%9a1-x2-%ce%b1-then-x2/ 2026-04-25T04:59:13+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-tancos-11-5%e2%88%9a2-sin-14-17-is/ 2026-04-25T04:01:30+00:00 monthly 0.2 https://www.ravikantsir.in/2tan-1cosectan-1x-tancot-1x-is-equal-to/ 2026-04-25T04:05:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-cos-1x-a-cos-1y-b-%ce%b1-then-x2-a2-2xy-abcos%ce%b1-y2-b2/ 2026-04-25T04:06:40+00:00 monthly 0.2 https://www.ravikantsir.in/the-positive-integral-solution-of-the-equation-tan-1x-cos-1y-%e2%88%9a1y2-sin-13-%e2%88%9a10-is/ 2026-04-25T04:08:27+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-1x-cos-1x-%cf%80-6-then-x/ 2026-04-25T04:09:49+00:00 monthly 0.2 https://www.ravikantsir.in/sincot-1tancos-1x-is-equal-to/ 2026-04-25T04:11:09+00:00 monthly 0.2 https://www.ravikantsir.in/the-number-of-solutions-of-the-equation-tan-1-2x-tan-1-3x-%cf%80-4-is/ 2026-04-25T04:12:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-%ce%b1-tan-1tan5%cf%80-4-and-%ce%b2-tan-1-tan2%cf%80-3-then/ 2026-04-25T04:16:34+00:00 monthly 0.2 https://www.ravikantsir.in/the-number-of-real-solutions-of-the-equation-%e2%88%9a1cos2x-%e2%88%9a2sin-1sinx-%cf%80-%e2%89%a4-x-%e2%89%a4-%cf%80-is/ 2026-04-25T04:18:20+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-0-y-0-such-that-xy-1-then-tan-1x-tan-1y-equals/ 2026-04-25T04:19:55+00:00 monthly 0.2 https://www.ravikantsir.in/if-u-cot-1%e2%88%9atan%ce%b8-tan-1%e2%88%9atan%ce%b8-then-tan%cf%80-4-u-2/ 2026-04-25T04:21:31+00:00 monthly 0.2 https://www.ravikantsir.in/if-cos-1x-3-cos-1y-2-%ce%b8-2-then-4x2-12xycos%ce%b8-2-9y2/ 2026-04-25T04:23:45+00:00 monthly 0.2 https://www.ravikantsir.in/if-%ce%b1-tan-1%e2%88%9a3x-2y-x-%ce%b2-tan-12x-y-%e2%88%9a3y-then-%ce%b1-%ce%b2/ 2026-04-25T04:25:08+00:00 monthly 0.2 https://www.ravikantsir.in/let-fx-ecos-1sinx-%cf%80-3-then-f8%cf%80-9/ 2026-04-25T04:27:05+00:00 monthly 0.2 https://www.ravikantsir.in/tan-11-11-tan-12-11-is-equal-to/ 2026-04-25T04:28:27+00:00 monthly 0.2 https://www.ravikantsir.in/if-cos-1x-2-cos-1y-3-%ce%b8-then-9x2-12xycos%ce%b8-4y2-is-equal-to/ 2026-04-25T04:29:43+00:00 monthly 0.2 https://www.ravikantsir.in/if-tan-13-tan-1x-tan-18-then-x/ 2026-04-25T04:31:08+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-sin-1cos33%cf%80-5-is/ 2026-04-25T04:32:58+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-cos-1cos5%cf%80-3-sin-1sin5%cf%80-3-is/ 2026-04-25T04:34:29+00:00 monthly 0.2 https://www.ravikantsir.in/sin2cos-1-3-5-is-equal-to/ 2026-04-25T04:35:44+00:00 monthly 0.2 https://www.ravikantsir.in/if-%ce%b8-sin-1sin-600-then-one-of-the-possible-value-of-%ce%b8-is/ 2026-04-25T04:38:13+00:00 monthly 0.2 https://www.ravikantsir.in/if-3sin-12x-1x2-4cos-11-x2-1x2-2tan-12x-1-x2-%cf%80-3-then-x-is-equal-to/ 2026-04-25T04:39:56+00:00 monthly 0.2 https://www.ravikantsir.in/if-4cos-1x-sin-1x-%cf%80-then-the-value-of-x-is/ 2026-04-25T04:41:31+00:00 monthly 0.2 https://www.ravikantsir.in/if-tan-1x1-x-1-tan-1x-1-x-tan-1-7-then-the-value-of-x-is/ 2026-04-25T04:43:09+00:00 monthly 0.2 https://www.ravikantsir.in/if-cos-1x-sin-1x-then/ 2026-04-25T04:44:41+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-%e2%88%86abc-if-c-is-a-right-angle-then-tan-1a-bc-tan-1b-ca/ 2026-04-25T04:46:19+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-sin1-4sin-1%e2%88%9a63-8-is/ 2026-04-25T04:47:38+00:00 monthly 0.2 https://www.ravikantsir.in/cot%cf%80-4-2cot-13/ 2026-04-25T04:48:54+00:00 monthly 0.2 https://www.ravikantsir.in/if-tan-1cot%ce%b8-2%ce%b8-then-%ce%b8/ 2026-04-25T04:50:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-sin-12a-1a2-cos-11-a2-1a2-tan-12x-1-x2-where-%ce%b1-x-%e2%88%8801-then-the-value-of-x-is/ 2026-04-25T04:51:48+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-sin2tan-10-75-is-equal-to/ 2026-04-25T04:53:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-1-then-2tan-1x-sin-12x-1x2-is-equal-to/ 2026-04-25T04:54:38+00:00 monthly 0.2 https://www.ravikantsir.in/the-domain-of-cos-1x2-4-is/ 2026-04-25T04:56:09+00:00 monthly 0.2 https://www.ravikantsir.in/the-value-of-tancos-13-5-tan-11-4-is/ 2026-04-25T04:58:02+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-matrix-has-8-elements-what-are-the-possible-orders-it-can-have-what-if-it-has-5-elements/ 2026-04-25T09:20:18+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-aij-23-514907-2-and-b-bij-2-1-3412-then-find-i-a22-b21-ii-a11b11-a22b22/ 2026-04-25T05:09:16+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-be-a-matrix-of-order-3x4-if-r1-denotes-the-first-row-of-a-and-c2-denotes-its-second-column-then-determine-the-orders-of-matrices-r1-and-c2/ 2026-04-25T08:18:42+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x3-matrix-aaij-whose-elements-aij-are-given-by-aij-ixj/ 2026-04-25T08:20:14+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x3-matrix-a-aij-whose-elements-aij-are-given-by-aij-2i-j/ 2026-04-25T08:22:46+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x3-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-j/ 2026-04-25T08:24:29+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x3-matrix-a-aij-whose-elements-aij-are-given-by-aij-ij2-2/ 2026-04-25T08:26:52+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-j2-2/ 2026-04-25T08:28:15+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-j2-2-2/ 2026-04-25T08:30:18+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-2j2-2/ 2026-04-25T08:31:37+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-2i-j2-2/ 2026-04-25T08:32:59+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-2i-3j-2/ 2026-04-25T08:34:11+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-3i-j-2/ 2026-04-25T08:35:32+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-2x2-matrix-a-aij-whose-elements-aij-are-given-by-aij-e2ix-sin-xj/ 2026-04-25T08:36:51+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-3x4-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-j/ 2026-04-25T08:38:05+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-3x4-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-j-2/ 2026-04-25T08:39:39+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-3x4-matrix-a-aij-whose-elements-aij-are-given-by-aij-2i/ 2026-04-25T08:41:18+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-3x4-matrix-a-aij-whose-elements-aij-are-given-by-aij-j/ 2026-04-25T08:42:34+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-3x4-matrix-a-aij-whose-elements-aij-are-given-by-aij-1-2-3i-j/ 2026-04-25T08:44:05+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-4x3-matrix-a-aij-whose-elements-aij-are-given-by-aij-2i-i-j/ 2026-04-25T08:45:29+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-4x3-matrix-a-aij-whose-elements-aij-are-given-by-aij-i-j-i-j/ 2026-04-25T08:46:49+00:00 monthly 0.2 https://www.ravikantsir.in/construct-a-4x3-matrix-a-aij-whose-elements-aij-are-given-by-aij-i/ 2026-04-25T08:48:06+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-a-and-b-if-3x4y-2-x-2y-ab-2a-b-1-2-2-4-5-5-1/ 2026-04-25T08:49:24+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-a-and-b-if-2x-3y-a-b-3-1-x4y-3a4b1-2-3-1-6-29/ 2026-04-25T08:50:36+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-values-of-a-b-c-and-d-from-the-following-equations-2ab-1-2b-5c-d-4c3d-4-3-11-24/ 2026-04-25T08:51:49+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-and-z-so-that-ab-where-ax-2-3-2x-18z-y2-6z-b-y-z-6-6y-x-2y/ 2026-04-25T08:53:37+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-3x-y-2xz-3y-w3-2-4-7-find-x-y-z-w/ 2026-04-25T08:55:32+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-y-z-2x-y-w-1-4-0-5-find-x-y-z-w/ 2026-04-25T08:56:47+00:00 monthly 0.2 https://www.ravikantsir.in/if-x3-z4-2y-7-4x6-a-1-0-b-3-3b-z2c-0-6-3y-2-2x-3-2c2-2b4-21-0-obtain-the-values-of-a-b-c-x-y-and-z/ 2026-04-25T08:58:08+00:00 monthly 0.2 https://www.ravikantsir.in/if-2x1-5x-0-y21x3-10-0-26-find-the-value-of-x-y/ 2026-04-25T08:59:27+00:00 monthly 0.2 https://www.ravikantsir.in/if-xy-4-z6-xy8-w-0-6-then-find-the-values-of-x-y-z-and-w/ 2026-04-25T09:01:20+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-row-matrix-which-is-also-a-column-matrix/ 2026-04-25T09:03:56+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-diagonal-matrix-which-is-not-scalar/ 2026-04-25T09:09:08+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-a-triangular-matrix/ 2026-04-25T09:11:56+00:00 monthly 0.2 https://www.ravikantsir.in/the-sales-figure-of-two-car-dealers-during-january-2013-showed-that-dealer-a-sold-5-deluxe-3-premium-and-4-standard-cars-while-dealer-b-sold-7-deluxe-2-premium-and-3-standard-cars-total-sales-over/ 2026-04-25T09:15:30+00:00 monthly 0.2 https://www.ravikantsir.in/for-what-values-of-x-and-y-are-the-following-matrices-equal-a2x1-2y-0-y2-5y-bx3-y22-0-6/ 2026-04-25T09:16:50+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-values-of-x-and-y-if-x10-y22y-0-43x4-3-0-y2-5y/ 2026-04-25T09:18:16+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-values-of-a-and-b-if-ab-where-aa4-3b-8-6-b2a2-b22-8-b2-10/ 2026-04-25T09:19:31+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-following-sums-3-2-1-4-2-4-1-3/ 2026-04-25T10:08:13+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-following-sums-2-1-3-0-3-5-1-2-5-1-2-3-2-6-1-0-3-1/ 2026-04-25T09:27:24+00:00 monthly 0.2 https://www.ravikantsir.in/let-a2-4-3-2-b1-3-2-5-and-c-2-5-3-4-find-i-2a-3b-ii-b-4c-iii-3a-c-iv-3a-2b-3c/ 2026-04-25T09:29:33+00:00 monthly 0.2 https://www.ravikantsir.in/if-a2-3-5-7-b-1-0-2-3-4-1-c-1-2-3-2-1-0-find-i-ab-and-bc-ii-2b3a-and-3c-4b/ 2026-04-25T09:32:32+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-0-2-3-1-4-b0-2-5-1-3-1-and-c1-5-2-6-0-4-compute-2a-3b4c/ 2026-04-25T09:35:22+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-diag2-5-9-b-diag1-1-4-and-c-diag-6-3-4-find-i-a-2b-ii-bc-2a-iii-2a-3b-5c/ 2026-04-25T09:37:18+00:00 monthly 0.2 https://www.ravikantsir.in/given-the-matrices-a2-1-1-3-1-0-0-2-4-b9-7-1-3-5-4-2-1-6-and-c2-4-3-1-1-0-9-4-5-verify-that-abcabc/ 2026-04-25T09:39:03+00:00 monthly 0.2 https://www.ravikantsir.in/find-matrices-x-and-y-if-x-y5-2-0-9-and-x-y3-6-0-1/ 2026-04-25T09:41:38+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-if-y-3-2-1-4-and-2x-y-1-0-3-2/ 2026-04-25T09:43:08+00:00 monthly 0.2 https://www.ravikantsir.in/find-matrices-x-and-y-if-2x-y-6-6-0-4-2-1-and-x-2y-3-2-5-2-1-7/ 2026-04-25T09:44:50+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-y-1-1-11-1-01-0-0-and-x-y-3-5-1-1-1-411-8-0-find-x-and-y/ 2026-04-25T09:46:20+00:00 monthly 0.2 https://www.ravikantsir.in/find-matrix-a-if-1-2-1-0-4-9-a-9-1-4-2-1-3/ 2026-04-25T09:47:37+00:00 monthly 0.2 https://www.ravikantsir.in/if-a9-1-7-8-b1-5-7-12-find-matrix-c-such-that-5a-3b-2c-is-a-null-matrix/ 2026-04-25T09:49:02+00:00 monthly 0.2 https://www.ravikantsir.in/if-a2-2-4-2-5-1-b8-0-4-2-3-6-find-matrix-x-such-that-2a-3x-5b/ 2026-04-25T09:50:23+00:00 monthly 0.2 https://www.ravikantsir.in/if-a1-3-2-2-0-2-and-b-2-1-1-1-0-1-find-the-matrix-c-such-that-abc-is-zero-matrix/ 2026-04-25T09:51:35+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-satisfying-the-matrix-equations-x-y-2-2-4-x-6-3-2-2-1-0-1-6-0-0-5-2xy-5/ 2026-04-25T09:53:04+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-satisfying-the-matrix-equations-x-y2-z-3-y-4-5-4-9-12/ 2026-04-25T09:54:21+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-satisfying-the-matrix-equations-x2-1-y3-5-811-o/ 2026-04-25T09:55:46+00:00 monthly 0.2 https://www.ravikantsir.in/if-23-4-5-x1-y-0-17-0-10-5-find-x-and-y/ 2026-04-25T09:57:07+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-%ce%bb-a-non-zero-scalar-if-%ce%bb-1-0-2-3-4-5-21-2-3-1-3-24-4-10-4-2-14/ 2026-04-25T09:58:17+00:00 monthly 0.2 https://www.ravikantsir.in/find-a-matrix-x-such-that-2a-b-x-0-where-a-1-2-3-4-b-3-2-1-5/ 2026-04-25T09:59:26+00:00 monthly 0.2 https://www.ravikantsir.in/if-a8-0-4-2-3-6-and-b2-2-4-2-5-1-then-find-the-matrix-x-of-order-3x2-such-that-2a-3x-5b/ 2026-04-25T10:00:38+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-z-and-t-if-3x-y-z-t-x-6-1-2t-4-x-y-z-t-3/ 2026-04-25T10:01:49+00:00 monthly 0.2 https://www.ravikantsir.in/find-x-y-z-and-t-if-2x-5-7-y-33-4-1-2-7-14-15-14/ 2026-04-25T10:03:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-and-y-are-2x2-matrices-then-solve-the-following-matrix-equations-for-x-and-y-2x-3y2-3-4-0-3x-2y-2-2-1-5/ 2026-04-25T10:04:19+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-certain-city-there-are-30-colleges-each-college-has-15-peons-6-clerks-1-typist-and-1-section-officer-express-the-given-information-as-a-column-matrix-using-scalar-multiplication-find-the-to/ 2026-04-25T10:05:44+00:00 monthly 0.2 https://www.ravikantsir.in/the-monthly-incomes-of-aryan-and-babban-are-in-the-ratio-34-and-their-monthly-expenditures-are-in-the-ratio-57-if-each-saves-%e2%82%b915000-per-month-find-their-monthly-income-using-matrix-method/ 2026-04-25T10:07:05+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-indicated-product-a-b-b-a-a-b-b-a/ 2026-04-25T10:46:51+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-indicated-product-1-2-2-3-1-2-3-3-2-1/ 2026-04-25T10:12:24+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-indicated-product-2-3-4-3-4-5-4-5-6-1-3-5-0-2-4-3-0-5/ 2026-04-25T10:13:44+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-ab-%e2%89%a0-ba-in-the-following-a-5-1-6-7-and-b-2-1-3-4/ 2026-04-25T10:14:55+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-ab-%e2%89%a0-ba-in-the-following-a-1-1-0-0-1-1-2-3-4-and-b-1-2-3-0-1-0-1-1-0/ 2026-04-25T10:16:14+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-ab-%e2%89%a0-ba-in-the-following-a-1-3-0-1-1-0-4-1-0-and-b-0-1-0-1-0-0-0-5-1/ 2026-04-25T10:17:31+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-products-ab-and-ba-whichever-exists-in-the-case-a-1-2-2-3-and-b-1-2-3-2-3-1/ 2026-04-25T10:19:27+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-products-ab-and-ba-whichever-exists-in-the-case-a-3-2-1-0-1-1-and-b-4-5-6-0-1-2/ 2026-04-25T10:20:40+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-products-ab-and-ba-whichever-exists-in-the-case-a-1-1-2-3-and-b-0-1-3-2/ 2026-04-25T10:22:00+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-products-ab-and-ba-whichever-exists-in-the-case-a-b-c-d-a-b-c-d-a-b-c-d/ 2026-04-25T10:23:21+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-ab-%e2%89%a0-ba-in-each-of-the-case-a1-3-1-2-1-1-3-0-1-and-b-2-3-1-1-2-1-6-9-4/ 2026-04-25T10:24:38+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-the-following-1-3-1-4-3-2-1-1-1-3-5-2-4-6/ 2026-04-25T10:26:05+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-the-following-1-2-3-1-0-2-2-0-1-0-1-2-2-4-6/ 2026-04-25T10:27:20+00:00 monthly 0.2 https://www.ravikantsir.in/evaluate-the-following-1-1-0-2-2-3-1-0-2-2-0-1-0-1-2-1-0-2/ 2026-04-25T10:28:47+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-0-0-1-b-1-0-0-1-and-c-0-1-1-0-then-show-that-a2b2c2i2/ 2026-04-25T10:30:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-1-3-2-and-b-0-4-1-7-find-3a2-2b-i/ 2026-04-25T10:31:39+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-4-2-1-1-prove-that-a-2i-a-3i-o/ 2026-04-25T10:33:41+00:00 monthly 0.2 https://www.ravikantsir.in/if-a1-1-0-1-show-that-a2-1-2-0-1-and-a3-1-3-0-1/ 2026-04-25T10:35:38+00:00 monthly 0.2 https://www.ravikantsir.in/if-aab-b2-a2-ab-show-tht-a2-o/ 2026-04-25T10:37:20+00:00 monthly 0.2 https://www.ravikantsir.in/if-acos2%ce%b8-sin2%ce%b8-sin2%ce%b8-cos2%ce%b8-find-a2/ 2026-04-25T10:38:42+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-3-5-1-4-5-1-3-4-and-b-1-3-5-1-3-5-1-3-5-show-that-ab-ba-o3x3/ 2026-04-25T10:39:51+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-0-c-b-c-0-a-b-a-0-and-b-a2-ab-ac-ab-b2-bc-ac-bc-c2-show-that-ab-ba-o3x3/ 2026-04-25T10:41:07+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-3-5-1-4-5-1-3-4-and-b-2-2-4-1-3-4-1-2-3-show-that-ab-a-and-ba-b/ 2026-04-25T10:42:25+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-1-1-3-3-3-5-5-5-and-b-0-4-3-1-3-3-1-4-4-compare-a2-b2/ 2026-04-25T10:44:00+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-matrix-verify-the-associativity-of-matrix-multiplication-i-e-abc-abc-a-1-2-0-1-0-1-b1-0-1-2-0-3-and-c1-1/ 2026-04-26T07:05:31+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-matrix-verify-the-associativity-of-matrix-multiplication-i-e-abc-abc-a-4-2-3-1-1-2-3-0-1-b-0-1-1-0-1-2-2-1-1-and-c-1-2-1-3-0-1-0/ 2026-04-26T04:29:53+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-following-matrices-verify-the-distributivity-of-matrix-multiplication-over-matrix-addition-i-e-abc-ab-ac-a-1-1-0-2-b-1-0-2-1-and-c-0-1-1-1/ 2026-04-26T04:33:12+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-matrix-verify-the-distributivity-of-matrix-multiplication-over-matrix-addition-i-e-ab-c-ab-ac-a-2-1-1-1-1-2-b-0-1-1-1-and-c-1-1-0-1/ 2026-04-26T04:40:56+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-0-2-3-1-0-2-1-1-b-0-5-4-2-1-3-1-0-2-and-c-1-5-2-1-1-0-0-1-1-verify-that-ab-c-ab-ac/ 2026-04-26T04:44:28+00:00 monthly 0.2 https://www.ravikantsir.in/compute-the-elements-a43-and-a22-of-the-matrix-a-0-1-0-2-0-2-0-3-2-4-0-4-2-1-3-2-4-3-0-1-1-2-2-3-3-4-4-0/ 2026-04-26T04:46:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-0-1-0-0-0-1-p-q-r-and-i-is-the-identity-matrix-of-order-3-show-that-a3-pi-qa-ra2/ 2026-04-26T04:47:35+00:00 monthly 0.2 https://www.ravikantsir.in/if-%cf%89-is-a-complex-cube-root-of-unity-show-that-1-%cf%89-%cf%892-%cf%89-%cf%892-1-%cf%892-1-%cf%89-%cf%89-%cf%892-1-%cf%892-1-%cf%89-%cf%892-1-%cf%89/ 2026-04-26T04:59:08+00:00 monthly 0.2 https://www.ravikantsir.in/if-a2-3-5-1-4-5-1-3-4-show-that-a2-a/ 2026-04-26T04:57:33+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-4-1-4-3-0-4-3-1-3-show-that-a2-i3/ 2026-04-26T04:56:05+00:00 monthly 0.2 https://www.ravikantsir.in/if-1-1-x-1-0-2-0-2-1-2-1-0-1-1-1-0-find-x/ 2026-04-26T05:02:22+00:00 monthly 0.2 https://www.ravikantsir.in/if-2-3-5-7-1-3-2-4-4-6-9-x-find-x/ 2026-04-26T05:03:43+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-4-1-2-1-2-1-0-2-0-2-4-x-4-1-0-find-x/ 2026-04-26T05:06:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-1-1-x0-1-1-2-1-3-1-1-1-0-1-1-0-find-x/ 2026-04-26T05:08:09+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-2-4-2-and-i-1-0-0-1-then-prove-that-a2-a-2i-0/ 2026-04-26T05:09:36+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-1-1-2-and-i-1-0-0-1-then-find-%ce%bb-so-that-a2-5a-%ce%bbi/ 2026-04-26T05:11:54+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-1-1-2-show-that-a2-5a-7i2-o/ 2026-04-26T05:13:05+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-3-1-0-show-that-a2-2a-3i2-o/ 2026-04-26T05:14:24+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-matrix-a-2-3-1-2-satisfies-the-equation-a3-4a2-a-o/ 2026-04-26T05:15:35+00:00 monthly 0.2 https://www.ravikantsir.in/show-that-the-matrix-a-5-3-12-7-is-a-root-of-the-equation-a2-12a-i-o/ 2026-04-26T05:16:43+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-5-4-2-find-a2-5a-14i/ 2026-04-26T05:17:55+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-1-1-2-show-that-a2-5a-7i-o-use-this-to-find-a4/ 2026-04-26T05:19:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-2-4-2-find-k-such-that-a2-ka-2i2/ 2026-04-26T05:20:51+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-0-1-7-find-k-such-that-a2-8a-ki-o/ 2026-04-26T05:22:10+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-2-1-and-fx-x2-2x-3-show-that-fa-o/ 2026-04-26T05:23:42+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-3-1-2-and-i-1-0-0-1-then-find-%ce%bb-%ce%bc-so-that-a2-%ce%bba-%ce%bci/ 2026-04-26T05:25:03+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-value-of-x-for-which-the-matrix-product-2-0-7-0-1-0-1-2-1-x-14-7x-0-1-0-x-4x-2x-equal-to-an-identity-matrix/ 2026-04-26T05:28:44+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-matrix-equation-x-1-1-0-2-3-x-5-0/ 2026-04-26T05:30:04+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-matrix-equation-1-2-1-1-2-0-2-0-1-1-0-2-0-2-x-0/ 2026-04-26T05:31:27+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-matrix-equation-x-5-1-1-0-2-0-2-1-2-0-3-x-4-1-0/ 2026-04-26T05:32:40+00:00 monthly 0.2 https://www.ravikantsir.in/solve-the-matrix-equation-2x-3-1-2-3-0-x-8-0/ 2026-04-26T05:33:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-0-3-4-5-0-1-3-compare-a2-4a-3i3/ 2026-04-26T05:35:12+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-x2-2x-find-fa-where-a-0-1-2-4-5-0-0-2-3/ 2026-04-26T05:38:16+00:00 monthly 0.2 https://www.ravikantsir.in/if-fx-x3-4x2-x-find-fa-where-a-0-1-2-2-3-0-1-1-0/ 2026-04-26T05:39:26+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-0-2-0-2-1-2-0-3-then-show-that-a-is-a-root-of-the-polynomial-fx-x3-6x2-7x-2/ 2026-04-26T05:40:41+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-2-2-1-2-2-2-1-then-prove-that-a2-4a-5i-o/ 2026-04-26T05:41:58+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-2-0-1-4-0-0-0-5-show-that-a2-7a-10i3-o/ 2026-04-26T05:43:16+00:00 monthly 0.2 https://www.ravikantsir.in/without-using-the-concept-of-inverse-of-matrix-find-the-matrix-x-y-z-u-such-that-5-7-2-3-x-y-z-u-16-6-7-2/ 2026-04-26T05:44:31+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-matrix-a-such-that-1-1-0-1-a-3-3-5-1-0-1/ 2026-04-26T05:45:37+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-matrix-a-such-that-a1-2-3-4-5-6-7-8-9-2-4-6/ 2026-04-26T05:46:48+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-matrix-a-such-that-4-1-3a-4-8-4-1-2-1-3-6-3/ 2026-04-26T05:48:18+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-matrix-such-that-2-1-3-1-0-1-1-1-0-0-1-1-1-0-1-a/ 2026-04-26T05:49:34+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-matrix-a-such-that-2-1-1-0-3-4-a-1-8-10-1-2-5-9-22-15/ 2026-04-26T05:50:58+00:00 monthly 0.2 https://www.ravikantsir.in/find-the-matrix-a-such-that-a-1-2-3-4-5-6-7-8-9-2-4-6-11-10-9/ 2026-04-26T05:52:08+00:00 monthly 0.2 https://www.ravikantsir.in/find-a-2x2-matrix-a-such-that-a1-2-1-4-6i2/ 2026-04-26T05:53:27+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-0-0-4-0-find-a16/ 2026-04-26T05:54:50+00:00 monthly 0.2 https://www.ravikantsir.in/if-a0-x-x-0-b-0-1-1-0-and-x2-1-then-show-that-a-b2-a2-b2/ 2026-04-26T05:56:07+00:00 monthly 0.2 https://www.ravikantsir.in/if-a1-0-3-2-1-3-0-1-1-then-verify-that-a2-a-aa-i-where-i-is-the-identity-matrix/ 2026-04-26T05:57:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-a3-5-4-2-then-find-a2-5a-14i-hence-obtain-a2-5a-14i-hence-obtain-a3/ 2026-04-26T05:58:34+00:00 monthly 0.2 https://www.ravikantsir.in/if-px-cos-x-sin-x-sin-x-cos-x-then-show-that-px-py-px-y-pypx/ 2026-04-26T05:59:59+00:00 monthly 0.2 https://www.ravikantsir.in/if-p-x-0-0-0-y-0-0-0-z-and-q-a-0-0-0-b-0-0-0-c-prove-that-pq-xa-0-0-0-yb-0-0-0-zc-qp/ 2026-04-26T06:01:36+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-0-1-2-1-3-1-1-0-find-a2-5a-4i-and-hence-find-a-matrix-x-such-that-a2-5a-4i-x-0/ 2026-04-26T06:04:16+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-1-0-1-prove-that-an-1-n-0-1-for-all-positive-integers-n/ 2026-04-26T06:16:56+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-a-b-0-1-prove-that-an-an-ban-1-a-1-0-1-for-every-positive-integer-n/ 2026-04-26T06:18:18+00:00 monthly 0.2 https://www.ravikantsir.in/if-acos-%ce%b8-isin-%ce%b8-isin-%ce%b8-cos-%ce%b8-then-prove-by-principle-of-mathematical-induction-that-an-cos-n%ce%b8-isin-n%ce%b8-isin-n%ce%b8-cos-n%ce%b8-for-all-n-%e2%88%88/ 2026-04-26T06:19:38+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-cos-%ce%b1-sin-%ce%b1-%e2%88%9a2sin-%ce%b1-%e2%88%9a2sin-%ce%b1-cos-%ce%b1-sin-%ce%b1-prove-that-if-an-cos-n%ce%b1-sin-n%ce%b1-%e2%88%9a2sin-n%ce%b1-%e2%88%9a2sin-n/ 2026-04-26T06:21:00+00:00 monthly 0.2 https://www.ravikantsir.in/if-a1-1-1-0-1-1-0-0-1-then-use-the-principle-of-mathematical-induction-to-show-that-an-cos-%ce%b1-sin-%ce%b1-%e2%88%9a2sin-%ce%b1-%e2%88%9asinn-%ce%b1-cos-n%ce%b1-sin/ 2026-04-26T06:22:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-bc-are-n-rowed-square-matrices-and-if-a-b-c-bc-cb-c2-o-then-show-that-for-every-n-%e2%88%88-n-an1-bn-b-n-1c/ 2026-04-26T06:23:51+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-diaga-b-c-show-that-an-diagan-bn-cn-for-all-positive-integer-n/ 2026-04-26T06:25:07+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-is-a-square-matrix-using-mathematical-induction-prove-that-atnant-for-all-n-%e2%88%88-n/ 2026-04-26T06:26:33+00:00 monthly 0.2 https://www.ravikantsir.in/a-matrix-x-has-ab-rows-and-a2-column-while-the-matrix-y-has-b1-rows-and-a3-columns-both-matrices-xy-and-yx-exist-find-a-and-b-can-you-say-xy-and-yx-are-of-the-same-type-are-they-equal/ 2026-04-26T06:28:02+00:00 monthly 0.2 https://www.ravikantsir.in/give-example-of-matrix-a-and-b-such-that-ab-%e2%89%a0-ba/ 2026-04-26T06:29:20+00:00 monthly 0.2 https://www.ravikantsir.in/give-example-of-matrix-a-and-b-such-that-ab-o-but-a-%e2%89%a0-o-b-%e2%89%a0-o/ 2026-04-26T06:30:31+00:00 monthly 0.2 https://www.ravikantsir.in/give-example-of-matrix-a-and-b-such-that-ab-o-but-ba-%e2%89%a0-o/ 2026-04-26T06:31:49+00:00 monthly 0.2 https://www.ravikantsir.in/give-example-of-matrix-a-b-and-c-such-that-ab-ac-but-b-%e2%89%a0-c-a-%e2%89%a0-o/ 2026-04-26T06:33:09+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-and-b-be-square-matrix-of-the-same-order-does-a-b2-a2-2ab-b2-hold-if-not-why/ 2026-04-26T06:34:34+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-and-b-are-square-matrices-of-the-same-order-explain-why-in-general-a-b2-%e2%89%a0-a2-2ab-b2/ 2026-04-26T06:37:04+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-and-b-are-square-matrices-of-the-same-order-explain-why-in-general-a-b2-%e2%89%a0-a2-2ab-b2-2/ 2026-04-26T06:38:27+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-and-b-are-square-matrices-of-the-same-order-explain-why-in-general-a-ba-b-%e2%89%a0-a2-b2/ 2026-04-26T06:40:04+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-and-b-be-square-matrices-of-the-other-3x3-is-ab2-a2-b2-give-reasons/ 2026-04-26T06:41:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-and-b-are-square-matrices-of-the-same-order-such-that-ab-ba-then-show-that-a-b2-a2-2ab-b2/ 2026-04-26T06:42:46+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-1-1-3-3-3-b-3-1-5-2-2-4-and-c-4-2-3-5-5-0-verify-that-ab-ac-though-b-%e2%89%a0-c-a-%e2%89%a0-o/ 2026-04-26T06:44:07+00:00 monthly 0.2 https://www.ravikantsir.in/three-shopkeepers-a-b-and-c-go-to-a-store-by-stationary-a-purchases-12-dozen-notebooks-5-dozen-pens-and-6-dozen-pencils-b-purchases-10-dozen-notebooks-6-dozen-pens-and-7-dozen-pencils-c-purchase/ 2026-04-26T06:45:36+00:00 monthly 0.2 https://www.ravikantsir.in/the-cooperative-stores-of-a-particular-school-has-10-dozen-physics-books-8-dozen-chemistry-books-and-5-dozen-mathematics-books-their-selling-prices-are-%e2%82%b98-30-%e2%82%b93-45-and-%e2%82%b94-50/ 2026-04-26T06:46:59+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-legislative-assembly-election-a-political-group-hired-a-public-relations-firm-to-promote-its-candidates-in-three-ways-telephone-house-calls-and-letters-the-cost-per-contact-in-paise-is-give/ 2026-04-26T07:05:13+00:00 monthly 0.2 https://www.ravikantsir.in/a-trust-fund-has-%e2%82%b930000-that-must-be-invested-in-two-different-types-of-bonds-the-first-bond-pays-5-interest-per-year-and-the-second-bond-pays-7-interest-per-year-using-the-trust-fund-must/ 2026-04-26T06:50:04+00:00 monthly 0.2 https://www.ravikantsir.in/to-promote-making-of-toilets-for-women-an-organisation-tried-to-generate-awareness-through-i-house-calls-ii-letters-and-iii-announcements-the-cost-for-each-mode-per-attempt-is-given-below-i/ 2026-04-26T07:02:16+00:00 monthly 0.2 https://www.ravikantsir.in/there-are-2-families-a-and-b-there-are-4-men-6-women-and-2-children-in-family-a-and-2-men-2-women-and-4-children-in-family-b-the-recommend-daily-amount-of-calories-is-2400-for-men-1900-for-women/ 2026-04-26T06:52:43+00:00 monthly 0.2 https://www.ravikantsir.in/in-a-parliament-election-a-political-party-hired-a-public-relations-firm-to-promote-its-candidates-in-three-ways-telephone-house-calls-and-letters-the-cost-per-contact-in-paisa-is-given-in-matr/ 2026-04-26T06:56:11+00:00 monthly 0.2 https://www.ravikantsir.in/the-monthly-incomes-of-aryan-and-babbar-are-in-the-ratio-34-and-their-monthly-expenditures-are-in-the-ratio-57-if-each-saves-%e2%82%b915000-per-month-find-their-monthly-incomes-using-matrix-method/ 2026-04-26T06:57:44+00:00 monthly 0.2 https://www.ravikantsir.in/a-trust-invested-some-money-in-two-type-of-bonds-the-first-boys-pays-10-interest-and-second-bond-pays-12-interest-the-trust-received-%e2%82%b92800-as-interest-however-if-trust-had-interchanged-mon/ 2026-04-26T06:59:26+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-2-3-7-5-and-b1-02-4-verify-that-2at-2at/ 2026-04-28T14:01:58+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-2-3-7-5-and-b-1-0-2-4-verify-that-a-bt-at-bt/ 2026-04-28T13:34:58+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-2-3-7-5-and-b1-02-4-verify-that-a-bt-at-bt/ 2026-04-28T13:36:27+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-2-3-7-5-and-b-1-02-4-verify-that-abt-btat/ 2026-04-28T13:38:02+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-5-2-and-b-1-0-4-verify-that-abt-btat/ 2026-04-28T13:39:35+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-1-1-0-2-1-3-1-2-1-and-b-1-2-3-2-1-3-0-1-1-find-at-bt-and-verify-that-i-a-bt-at-bt-ii-abt-btat-iii-2at-2at/ 2026-04-28T13:42:47+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-4-5-b-1-3-6-verify-that-abt-btat/ 2026-04-28T13:46:48+00:00 monthly 0.2 https://www.ravikantsir.in/if-a2-4-1-1-0-2-b3-4-1-2-2-1-find-abt/ 2026-04-28T13:48:44+00:00 monthly 0.2 https://www.ravikantsir.in/for-two-matrices-a-and-b-a-2-1-3-4-1-0-b-1-1-0-2-5-0-verify-that-abt-btat/ 2026-04-28T13:50:52+00:00 monthly 0.2 https://www.ravikantsir.in/for-the-matrices-a-and-b-verify-that-abt-btat-where-a-1-3-2-4-b-1-4-2-5/ 2026-04-28T13:52:37+00:00 monthly 0.2 https://www.ravikantsir.in/if-at-3-4-1-2-0-1-and-b-1-2-1-1-2-3-find-at-bt/ 2026-04-28T13:54:16+00:00 monthly 0.2 https://www.ravikantsir.in/if-at-3-4-1-2-0-1-and-b-1-2-1-1-2-3-find-at-bt-2/ 2026-04-28T13:56:25+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-cos-%ce%b1-sin-%ce%b1-sin-%ce%b1-cos-%ce%b1-then-verify-that-at-a-i2/ 2026-04-28T13:57:53+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-sin-%ce%b1-cos-%ce%b1-cos-%ce%b1-sin-%ce%b1-verify-that-at-a-i2/ 2026-04-28T13:59:25+00:00 monthly 0.2 https://www.ravikantsir.in/if-l1-m1-n1-i123-denote-the-direction-cosines-of-three-mutually-perpendicular-vectors-in-space-prove-that-aat-i-where-al1-m1-m1-l2-m2-n2-l3-m3-n3/ 2026-04-28T14:01:15+00:00 monthly 0.2 https://www.ravikantsir.in/if-a2-3-4-5-prove-that-a-at-is-skew-symmetric-matrix/ 2026-04-29T05:08:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-4-1-1-show-that-a-at-is-a-skew-symmetric-matrix/ 2026-04-29T04:52:34+00:00 monthly 0.2 https://www.ravikantsir.in/if-the-matrix-a-5-2-x-y-z-3-4-t-7-is-a-symmetric-matrix-find-x-y-z-and-t/ 2026-04-29T04:55:43+00:00 monthly 0.2 https://www.ravikantsir.in/let-a-3-2-7-1-4-3-2-5-8-find-matrices-x-and-y-such-that-x-y-a-where-x-is-a-symmetric-and-y-is-a-skew-symmetric-matrix/ 2026-04-29T04:58:25+00:00 monthly 0.2 https://www.ravikantsir.in/express-the-matrix-a-4-2-1-3-5-7-1-2-1-as-the-sum-of-a-symmetric-and-a-skew-symmetric-matrix/ 2026-04-29T05:02:54+00:00 monthly 0.2 https://www.ravikantsir.in/define-a-symmetric-matrix-prove-that-for-a-2-4-5-6-a-at-is-a-symmetric-matrix-where-at-is-the-transpose-of-a/ 2026-04-29T05:04:14+00:00 monthly 0.2 https://www.ravikantsir.in/express-the-matrix-a-3-4-1-1-as-the-sum-of-a-symmetric-and-a-skew-symmetric-matrix/ 2026-04-29T05:05:33+00:00 monthly 0.2 https://www.ravikantsir.in/express-the-matrix-3-2-4-3-2-5-1-1-2-as-the-sum-of-a-symmetric-and-skew-symmetric-matrix-and-verify-your-result/ 2026-04-29T05:07:10+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-1-4-4-1-5-and-b-3-1-2-2-1-3-write-the-orders-of-ab-and-ba/ 2026-04-29T05:10:39+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-is-an-mxn-matrix-and-b-is-nxp-matrix-does-ab-exist-if-yes-write-its-order/ 2026-04-29T05:13:25+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-4-3-1-2-and-b-4-3-write-ab/ 2026-04-29T05:15:28+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-2-3-write-aat/ 2026-04-29T05:17:02+00:00 monthly 0.2 https://www.ravikantsir.in/give-an-example-of-two-non-zero-2x2-matrices-a-and-b-such-that-ab-o/ 2026-04-29T05:18:23+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-2-3-5-7-find-aat/ 2026-04-29T05:19:38+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-i-0-0-i-write-a2/ 2026-04-29T05:21:08+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-cos-x-sin-x-sin-x-cos-x-find-x-satisfying-0-less-than-x-less-than-%cf%80-2-when-aat-i/ 2026-04-29T05:22:29+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-cos-x-sin-x-sin-x-cos-x-find-aat/ 2026-04-29T05:23:54+00:00 monthly 0.2 https://www.ravikantsir.in/if-1-0-y-5-2x-0-1-2-i-where-i-is-2x2-unit-matrix-find-x-and-y/ 2026-04-29T05:25:21+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-1-1-1-satisfies-the-matrix-equation-a2-ka-write-the-value-of-k/ 2026-04-29T05:27:08+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-1-1-1-satisfies-a4-%ce%bba-then-write-the-value-of-%ce%bb/ 2026-04-29T05:28:59+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-0-0-0-1-0-0-0-1-find-a2/ 2026-04-29T05:30:11+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-1-0-0-0-1-0-0-0-1-find-a3/ 2026-04-29T05:31:24+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-3-0-0-3-find-a4/ 2026-04-29T05:33:17+00:00 monthly 0.2 https://www.ravikantsir.in/if-x-2-3-4-2-find-x/ 2026-04-29T05:34:49+00:00 monthly 0.2 https://www.ravikantsir.in/if-a-aij-is-a-2x2-matrix-such-that-aij-i-2j-write-a/ 2026-04-29T05:36:59+00:00 monthly 0.2