<?xml version='1.0' encoding='UTF-8'?><?xml-stylesheet type='text/xsl' href='https://www.ravikantsir.in/wp-content/plugins/google-sitemap-generator/sitemap.xsl'?><!-- sitemap-generator-url='http://www.arnebrachhold.de' sitemap-generator-version='4.1.23' -->
<!-- generated-on='May 20, 2026 8:57 pm' -->
<urlset xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.sitemaps.org/schemas/sitemap/0.9 http://www.sitemaps.org/schemas/sitemap/0.9/sitemap.xsd' xmlns='http://www.sitemaps.org/schemas/sitemap/0.9'>	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-rd-sharma-chapter-2-relation-exercise-2-3-solutions-step-by-step-guide/</loc>
		<lastmod>2026-05-20T06:52:42+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-1-2-3-b-4-5-6-which-of-the-following-are-relations-from-a-to-b-give-reasons-in-support-of-your-answer-i-1-6-3-4-5-2-ii-1-5-2-6-3-4-3-6-iii-4/</loc>
		<lastmod>2026-05-17T10:52:24+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/a-relation-r-is-defined-from-a-set-a-2-3-4-5-to-a-set-b-3-6-7-10-as-follows-x-y%e2%88%88r-%e2%9f%ba-x-is-relatively-prime-to-y-express-r-as-a-set-of-ordered-pairs-and-determine-its-d/</loc>
		<lastmod>2026-05-17T10:54:39+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-be-the-set-of-first-five-natural-numbers-and-let-r-be-a-relation-on-a-defined-as-follow-x-y%e2%88%88r-%e2%9f%ba-x-%e2%89%a4-y-express-r-and-r-1-as-sets-of-ordered-pairs-determine-also-i/</loc>
		<lastmod>2026-05-17T10:56:41+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-inverse-relation-r-1-in-each-of-the-following-case-r-1213233256/</loc>
		<lastmod>2026-05-17T10:57:52+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-inverse-relation-r-1-in-each-of-the-following-case-r-x-y-x-y-%e2%88%88-n-x-2-8/</loc>
		<lastmod>2026-05-17T10:59:19+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-inverse-relation-r-1-in-each-of-the-following-case-r-is-a-relation-form-11-12-13-to-8-10-12-defined-by-y-x-3/</loc>
		<lastmod>2026-05-17T11:00:30+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-the-sets-of-ordered-pairs-a-relation-r-from-the-set-2-3-4-5-6-to-the-set-123-defined-by-x-2y/</loc>
		<lastmod>2026-05-17T11:02:01+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-the-sets-of-ordered-pairs-a-relation-r-on-the-set-1-2-3-4-5-6-7-defined-by-x-y%e2%88%88r-%e2%9f%ba-x-id-relatively-prime-to-y/</loc>
		<lastmod>2026-05-17T11:03:23+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-the-sets-of-ordered-pairs-a-relation-r-on-the-set-0-1-2-10-defined-by-2x-3y-12/</loc>
		<lastmod>2026-05-17T11:06:07+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-the-sets-of-ordered-pairs-a-relation-r-from-a-set-a-5-6-7-8-to-the-set-b-1012151618-defined-by-x-y%e2%88%88r-%e2%9f%ba-x-divides-y/</loc>
		<lastmod>2026-05-17T11:07:20+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-be-relation-in-n-defined-by-x-y%e2%88%88-r-%e2%9f%ba-x-2y-8-express-r-and-r-1-as-sets-of-ordered-pairs/</loc>
		<lastmod>2026-05-17T11:08:30+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-3-5-and-b-7-11-let-r-a-b-a%e2%88%88a-b%e2%88%88b-a-b-is-odd-show-that-r-is-an-empty-relation-from-a-into-b/</loc>
		<lastmod>2026-05-17T11:10:03+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-1-2-and-b-3-4-find-the-total-number-of-relations-from-a-into-b/</loc>
		<lastmod>2026-05-17T11:11:31+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/determine-the-domain-and-range-of-the-following-relation-r-x-x5-x-%e2%88%88-0-1-2-3-4-5/</loc>
		<lastmod>2026-05-17T11:12:47+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/determine-the-domain-and-range-of-the-following-relation-r-x-x3-x-is-a-prime-number-less-than-10/</loc>
		<lastmod>2026-05-17T11:14:19+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/determine-the-domain-and-range-of-the-following-relation-r-a-b-a-%e2%88%88-n-a-less-than-5-b-4/</loc>
		<lastmod>2026-05-17T11:16:00+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/determine-the-domain-and-range-of-the-following-relation-s-a-b-b-a-1-a-%e2%88%88-z-and-a-%e2%89%a4-3/</loc>
		<lastmod>2026-05-17T11:17:26+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-a-b-list-all-relations-on-a-and-find-their-numbers/</loc>
		<lastmod>2026-05-17T11:18:34+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-x-y-z-and-b-a-b-find-the-total-number-of-relations-from-a-into-b/</loc>
		<lastmod>2026-05-17T11:20:12+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-be-a-relation-from-n-to-n-defined-by-r-a-b-a-b-%e2%88%88-n-and-a-b2-are-the-following-statements-true-i-a-a%e2%88%88r-for-all-a%e2%88%88n-ii-a-b%e2%88%88r-%e2%87%92-b/</loc>
		<lastmod>2026-05-17T11:21:32+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-1-2-3-14-define-a-relation-on-a-set-a-by-r-x-y-3x-y-0-where-x-y%e2%88%88-a-depict-this-relationship-using-an-arrow-diagram-write-down-its-domain-co-domain-and-range/</loc>
		<lastmod>2026-05-17T11:22:48+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/define-a-relation-r-on-the-set-n-of-natural-number-by-r-x-y-y-x-5-x-is-a-natural-number-less-than-4-x-y-%e2%88%88-n-depict-this-relationship-using-i-roster-form-ii-an-arrow-diagram/</loc>
		<lastmod>2026-05-17T11:24:07+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/a-1-2-3-5-and-b-4-6-9-define-a-relation-r-from-a-to-b-by-r-x-y-the-difference-between-x-and-y-is-odd-x-%e2%88%88-a-y-%e2%88%88-b-write-r-in-roster-form/</loc>
		<lastmod>2026-05-17T11:25:15+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-relation-r-x-x3-x-is-a-prime-number-less-than-10-in-roster-form/</loc>
		<lastmod>2026-05-17T11:26:22+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-123456-let-r-be-a-relation-on-a-defined-by-r-a-b-a-b%e2%88%88-a-b-is-exactly-divisible-by-a-i-write-r-in-roster-form-ii-find-the-domain-of-r-iii-find-the-range-of-r/</loc>
		<lastmod>2026-05-17T11:27:27+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/figure-2-15-shows-a-relationship-between-the-set-p-and-q-write-the-relation-in-i-set-builder-form-ii-roster-form-what-is-its-domain-and-range/</loc>
		<lastmod>2026-05-17T11:29:12+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-be-the-relation-on-z-defined-by-r-a-b-a-b-%e2%88%88-z-a-b-is-an-integer-find-the-domain-and-range-of-r/</loc>
		<lastmod>2026-05-17T11:30:37+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/for-the-relation-r1-defined-on-r-by-the-rule-a-b%e2%88%88r1-%e2%9f%ba-1-ab-0-prove-that-a-b-%e2%88%88-r1-and-b-c-%e2%88%88-r1-%e2%87%92-a-c%e2%88%88r1-is-not-true-for-all-a-b-c/</loc>
		<lastmod>2026-05-17T11:32:05+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-be-a-relation-on-nxn-defined-by-a-brc-d%e2%9f%baa-b-b-c-for-all-a-bc-d%e2%88%88-nxn-show-that-i-a-bra-b-for-all-a-b-%e2%88%88nxn-ii-a-brc-d/</loc>
		<lastmod>2026-05-17T11:33:32+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-rd-sharma-chapter-2-relation-multiple-choice-questions-mcqs-solution-step-by-step-guide/</loc>
		<lastmod>2026-05-20T06:56:35+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-1-2-4-b-2-4-5-c-2-5-then-a-%e2%88%92-b-x-b-%e2%88%92-c-isa-1-2-1-5-2-5b-1-4c-1-4d-none-of-these/</loc>
		<lastmod>2026-05-19T04:42:37+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>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%87%94-y-3x-then-r-a-3-1-6-2-8-2-9-3b-3-1-6-2-9-3c-3-1-2-6-3-9d-n/</loc>
		<lastmod>2026-05-19T04:46:54+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-1-2-3-b-1-3-5-if-relation-r-from-a-to-b-is-given-by-r-1-3-2-5-3-3-then-r%e2%81%bb%c2%b9-isa-3-1-3-1-5-2b-1-3-2-5-3-3c-1-3-5/</loc>
		<lastmod>2026-05-19T04:48:21+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-1-2-3-b-1-4-6-9-and-r-is-a-relation-from-a-to-b-defined-by-x-is-greater-than-y-the-range-of-r-isa-1-4-6-9b-4-6-9c-1d-none-of-these/</loc>
		<lastmod>2026-05-19T04:49:31+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-x-y-x-y-%e2%88%88-z-x%c2%b2-y%c2%b2-%e2%89%a4-4-is-a-relation-on-z-then-domain-of-r-isa-0-1-2b-0-%e2%88%921-%e2%88%922c-%e2%88%922-%e2%88%921-0-1-2d-none-of-th/</loc>
		<lastmod>2026-05-19T04:51:06+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/a-relation-r-is-defined-from-2-3-4-5-to-3-6-7-10-by-x-r-y-%e2%87%94-x-is-relatively-prime-to-y-then-domain-of-r-isa-2-3-5b-3-5c-2-3-4d-2-3-4-5/</loc>
		<lastmod>2026-05-19T04:52:56+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/a-relation-%cf%95-from-c-to-r-is-defined-by-x-%cf%95-y-%e2%87%94-x-y-which-one-is-correcta-2-3i-%cf%95-13b-3-%cf%95-%e2%88%923c-1-i-%cf%95-2d-i-%cf%95-1/</loc>
		<lastmod>2026-05-19T04:55:01+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-be-a-relation-on-n-defined-by-x-2y-8-the-domain-of-r-isa-2-4-8b-2-4-6-8c-2-4-6d-1-2-3-4/</loc>
		<lastmod>2026-05-19T04:57:19+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/r-is-a-relation-from-11-12-13-to-8-10-12-defined-by-y-x-%e2%88%92-3-then-r%e2%81%bb%c2%b9-isa-8-11-10-13b-11-8-13-10c-10-13-8-11-12-10d-none-of-these/</loc>
		<lastmod>2026-05-19T04:59:10+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-the-set-a-has-p-elements-b-has-q-elements-then-the-number-of-elements-in-a-x-b-isa-p-qb-p-q-1c-pqd-p%c2%b2/</loc>
		<lastmod>2026-05-19T05:01:18+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-be-a-relation-from-a-set-a-to-a-set-b-thena-r-a-%e2%88%aa-bb-r-a-%e2%88%a9-bc-r-%e2%8a%86-a-x-bd-r-%e2%8a%86-b-x-a/</loc>
		<lastmod>2026-05-19T05:03:03+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-is-a-relation-from-a-finite-set-a-having-m-elements-to-a-finite-set-b-having-n-elements-then-the-number-of-relations-from-a-to-b-isa-2mnb-2mn-%e2%88%92-1c-2mnd-mn/</loc>
		<lastmod>2026-05-19T05:05:01+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-is-a-relation-on-a-finite-set-having-n-elements-then-the-number-of-relations-on-a-isa-2%e2%81%bfb-2%e2%81%bf%c2%b2c-n%c2%b2d-n%e2%81%bf/</loc>
		<lastmod>2026-05-19T05:06:35+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-na-m-and-nb-n-then-the-total-number-of-non-empty-relations-that-can-be-defined-from-a-to-b-isa-m%e2%81%bfb-n%e1%b5%90-%e2%88%92-1c-mn-%e2%88%92-1d-2mn-%e2%88%92-1/</loc>
		<lastmod>2026-05-19T05:08:30+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-relations-rd-sharma-chapter-2-fill-in-the-blanks-type-questions-fbqs-solution-step-by-step-guide/</loc>
		<lastmod>2026-05-20T06:53:23+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-na-m-and-nb-n-then-the-total-number-of-non-empty-relations-that-can-be-defined-from-a-to-b-is/</loc>
		<lastmod>2026-05-19T05:19:31+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/the-smallest-reflexive-relation-on-a-set-a-is-the/</loc>
		<lastmod>2026-05-19T05:22:16+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-and-b-are-two-sets-such-that-na-5-and-nb-7-then-the-total-number-of-relations-on-a-x-b-is/</loc>
		<lastmod>2026-05-19T05:24:23+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/a-relation-r-on-a-set-a-is-a-symmetric-relation-iff/</loc>
		<lastmod>2026-05-19T05:25:37+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-and-s-are-two-equivalence-relations-on-a-set-a-then-r-%e2%88%a9-s-is/</loc>
		<lastmod>2026-05-19T05:27:00+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-1-3-2-5-and-3-3-are-three-elements-of-a-x-b-and-na-x-b-6-then-the-remaining-three-elements-of-are/</loc>
		<lastmod>2026-05-19T05:28:25+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/the-total-number-of-reflexive-relations-on-a-finite-set-having-n-elements-is/</loc>
		<lastmod>2026-05-19T05:31:09+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-x-y-x-y-%e2%88%88-z-x%c2%b2-y%c2%b2-25-then-domain-r-and-range-r/</loc>
		<lastmod>2026-05-19T05:32:40+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/the-relation-r-x-y-x-y-%e2%88%88-z-x%c2%b2-y%c2%b2-64-is/</loc>
		<lastmod>2026-05-19T05:33:54+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-x-x-%e2%88%88-w-x-2-b-x-x-%e2%88%88-n-1-x-5-and-c-3-5-then-a-x-b-%e2%88%a9-c/</loc>
		<lastmod>2026-05-19T05:35:28+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-x-y-where-x-%e2%88%88-r-and-%e2%88%925-%e2%89%a4-x-%e2%89%a4-5-is-a-relation-then-range-r/</loc>
		<lastmod>2026-05-19T05:36:53+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-na-%e2%88%a9-b%e2%80%b2-9-na%e2%80%b2-%e2%88%a9-b-10-and-na-%e2%88%aa-b-24-then-na-x-b/</loc>
		<lastmod>2026-05-19T05:38:13+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-3-5-6-9-and-r-is-a-relation-in-a-defined-as-r-x-y-x-y-18-then-r-in-roster-form-is/</loc>
		<lastmod>2026-05-19T05:40:26+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-na-x-b-200-and-na-50-then-the-number-of-elements-in-pb-is/</loc>
		<lastmod>2026-05-19T05:41:37+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-1-2-3-4-5-6-then-the-number-of-subsets-of-a-containing-elements-2-3-and-5-is/</loc>
		<lastmod>2026-05-19T05:43:02+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-relations-rd-sharma-chapter-2-very-short-answer-questions-vsaqs-solution-step-by-step-guide/</loc>
		<lastmod>2026-05-20T06:55:55+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-1-2-4-b-2-4-5-and-c-2-5-write-a-%e2%88%92-c-x-b-%e2%88%92-c/</loc>
		<lastmod>2026-05-19T05:52:22+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-na-3-nb-4-then-write-na-x-a-x-b/</loc>
		<lastmod>2026-05-19T05:54:15+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-is-a-relation-defined-on-the-set-z-of-integers-by-the-rule-x-y-%e2%88%88-r-%e2%87%94-x%c2%b2-y%c2%b2-9-then-write-domain-of-r/</loc>
		<lastmod>2026-05-19T05:55:27+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-x-y-x-y-%e2%88%88-z-x%c2%b2-y%c2%b2-%e2%89%a4-4-is-a-relation-defined-on-the-set-z-of-integers-then-write-domain-of-r/</loc>
		<lastmod>2026-05-19T05:56:45+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-is-a-relation-from-set-a-11-12-13-to-set-b-8-10-12-defined-by-y-x-%e2%88%92-3-then-write-r%e2%81%bb%c2%b9/</loc>
		<lastmod>2026-05-19T05:57:59+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-1-2-3-and-r-a-b-a%c2%b2-%e2%88%92-b%c2%b2-%e2%89%a4-5-a-b-%e2%88%88-a-then-write-r-as-set-of-ordered-pairs/</loc>
		<lastmod>2026-05-19T06:00:15+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-r-x-y-x-y-%e2%88%88-z-y-2x-%e2%88%92-4-if-a-%e2%88%922-and-4-b%c2%b2-%e2%88%88-r-then-write-the-values-of-a-and-b/</loc>
		<lastmod>2026-05-19T06:01:32+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-2-1-4-7-1-%e2%88%922-then-write-the-linear-relation-between-the-components-of-the-ordered-pairs-of-the-relation-r/</loc>
		<lastmod>2026-05-19T06:03:44+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-1-3-5-and-b-2-4-list-the-elements-of-r-if-r-x-y-x-y-%e2%88%88-a-x-b-and-x-y/</loc>
		<lastmod>2026-05-19T06:08:57+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-r-x-y-x-y-%e2%88%88-w-2x-y-8-then-write-the-domain-and-range-of-r/</loc>
		<lastmod>2026-05-19T06:10:11+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-and-b-be-two-sets-such-that-na-3-and-nb-2-if-x-1-y-2-z-1-are-in-a-x-b-write-a-and-b/</loc>
		<lastmod>2026-05-19T06:11:38+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-1-2-3-5-b-4-6-9-and-r-be-a-relation-from-a-to-b-defined-by-r-x-y-x-%e2%88%92-y-is-odd-write-r-in-roster-form/</loc>
		<lastmod>2026-05-19T06:12:59+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-rd-sharma-chapter-3-functions-exercise-3-1-solutions-step-by-step-guide/</loc>
		<lastmod>2026-05-20T05:37:52+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/define-a-function-as-a-set-of-ordered-pairs/</loc>
		<lastmod>2026-05-20T04:50:49+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/define-a-function-as-a-correspondence-between-two-sets/</loc>
		<lastmod>2026-05-20T04:52:24+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/what-is-the-fundamental-difference-between-a-relation-and-a-function-is-every-relation-a-function/</loc>
		<lastmod>2026-05-20T04:54:11+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-2-1012-and-fa%e2%86%92z-be-a-function-defined-by-f-x-x2-2x-3-find-i-range-of-f-i-e-fa-ii-pre-image-of-6-3-and-5/</loc>
		<lastmod>2026-05-20T04:57:54+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-a-function-fr-%e2%86%92r-be-defined-fx-3x-2-x-less-than-0-1-x0-4x1-x-greater-than-0/</loc>
		<lastmod>2026-05-20T05:01:02+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/a-function-fr%e2%86%92r-is-defined-by-fx-x2-determine-i-range-of-f-ii-x-fx-4-iii-y-fy-1/</loc>
		<lastmod>2026-05-20T05:02:31+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-fr%e2%86%92r-where-r-is-the-set-of-all-positive-real-numbers-be-such-that-fxloge-x-determine-i-the-image-set-of-the-domain-of-f-ii-x-fx-2-iii-whether-fxy-fx-fy/</loc>
		<lastmod>2026-05-20T05:03:43+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-sets-of-ordered-pairs-and-is-it-function-x-y-y-3x-x%e2%88%881-2-3-y%e2%88%883-6-9-12/</loc>
		<lastmod>2026-05-20T05:05:13+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-sets-of-ordered-pairs-and-is-it-function-x-y-y-greater-than-x-1-x-1-2-and-y-2-4-6/</loc>
		<lastmod>2026-05-20T05:10:07+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/write-the-following-relation-as-sets-of-ordered-pairs-and-is-it-function-x-y-x-y-3-x-y%e2%88%880-1-2-3/</loc>
		<lastmod>2026-05-20T05:11:45+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-fr%e2%86%92r-and-gc%e2%86%92c-be-two-functions-defined-as-f-x-x2-and-gx-x2-are-they-equal-functions/</loc>
		<lastmod>2026-05-20T05:13:14+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-f-g-h-are-three-functions-defined-from-r-to-r-as-follows-i-fx-x2-ii-gx-sin-x-iii-h-x-x2-1-find-the-range-of-each-function/</loc>
		<lastmod>2026-05-20T05:18:39+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-range-of-each-function-let-x-1-2-3-4-and-y-1-5-9-11-15-16-determine-which-of-the-following-sets-are-functions-from-x-to-y-i-f1-1-1-2-11-3-1-4-15-ii-f2/</loc>
		<lastmod>2026-05-20T05:20:12+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-121314151617-and-fa%e2%86%92z-be-a-function-given-by-fx-highest-prime-factor-of-x-find-range-of-f/</loc>
		<lastmod>2026-05-20T05:21:42+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fr%e2%86%92r-be-defined-by-fx-x2-1-then-find-f-117-and-f-1-3/</loc>
		<lastmod>2026-05-20T05:25:44+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-p-q-r-s-and-b-1-2-3-which-of-the-following-relations-from-a-to-b-is-not-a-function-i-r1-p-1-q-2-r-1-s-2-ii-r2-p-1-q-1-r-1-s-1-iii-r3/</loc>
		<lastmod>2026-05-20T05:27:29+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-910111213-and-let-fa%e2%86%92n-be-defined-by-fn-the-highest-prime-factor-of-n-find-the-range-of-f/</loc>
		<lastmod>2026-05-20T05:29:48+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/the-function-f-is-defined-by-fx-x2-0%e2%89%a4x%e2%89%a43-3x-3%e2%89%a4x%e2%89%a410-the-relation-g-is-defined-by-gx-x2-0%e2%89%a4x%e2%89%a42-3x-2%e2%89%a4x%e2%89%a410-show-that-f-is/</loc>
		<lastmod>2026-05-20T05:34:20+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-f-x-x2-find-f1-1-f1-1-1-1/</loc>
		<lastmod>2026-05-20T05:35:46+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/express-the-function-fx%e2%86%92r-given-by-fx-x3-1-as-set-of-ordered-pairs-where-x-1-0-3-9-7/</loc>
		<lastmod>2026-05-20T05:37:01+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-rd-sharma-chapter-3-functions-exercise-3-2-solutions-step-by-step-guide/</loc>
		<lastmod>2026-05-20T05:58:13+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-x2-3x-4-then-find-the-value-of-x-satisfying-the-equation-fx-f2x-1/</loc>
		<lastmod>2026-05-20T05:43:50+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-x-a2-x-b2-find-fa-b/</loc>
		<lastmod>2026-05-20T05:45:23+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-y-fx-ax-b-bx-a-show-that-x-fy/</loc>
		<lastmod>2026-05-20T05:46:39+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-1-1-x-show-that-fffx-x/</loc>
		<lastmod>2026-05-20T05:47:53+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-x-1-x-1-show-that-ffx-x/</loc>
		<lastmod>2026-05-20T05:49:04+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-x2-when-x-less-than-0-x-when-0-%e2%89%a4-less-than-1-1-x-when-x-greater-1-find-i-f1-2-ii-f-2-iii-f1-iv-f%e2%88%9a3-and-v-f%e2%88%9a-3/</loc>
		<lastmod>2026-05-20T05:50:35+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-x3-1-x3-show-that-fx-f1-x-0/</loc>
		<lastmod>2026-05-20T05:51:52+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-2x-1-x2-show-that-ftan-%ce%b8-sin-2%ce%b8/</loc>
		<lastmod>2026-05-20T05:53:25+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-a-xn1-n-a-greater-than-0-and-n-%e2%88%88-n-then-prove-that-ffx-x-for-all-x/</loc>
		<lastmod>2026-05-20T05:54:40+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-fx-x-1-x-1-then-show-that-i-f1-x-fx-ii-f-1-x-1-fx/</loc>
		<lastmod>2026-05-20T05:56:03+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/if-for-non-zero-x-afx-bf1-x-1-x-5-where-a-%e2%89%a0-b-then-find-fx/</loc>
		<lastmod>2026-05-20T05:57:34+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/class-11th-maths-rd-sharma-chapter-3-functions-exercise-3-3-solutions-step-by-step-guide/</loc>
		<lastmod>2026-05-20T06:35:40+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-1-x/</loc>
		<lastmod>2026-05-20T06:02:19+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-1-x-7/</loc>
		<lastmod>2026-05-20T06:04:02+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-3x-2-x1/</loc>
		<lastmod>2026-05-20T06:05:26+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-2x-1-x2-9/</loc>
		<lastmod>2026-05-20T06:06:55+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-x22x1-x2-8x12/</loc>
		<lastmod>2026-05-20T06:08:17+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-%e2%88%9ax-2/</loc>
		<lastmod>2026-05-20T06:09:50+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-1-%e2%88%9ax2-1/</loc>
		<lastmod>2026-05-20T06:11:10+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-%e2%88%9a9-x2/</loc>
		<lastmod>2026-05-20T06:12:24+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-of-the-following-real-valued-function-of-real-variable-fx-%e2%88%9ax-2-3-x/</loc>
		<lastmod>2026-05-20T06:13:52+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-ax-b-bx-a/</loc>
		<lastmod>2026-05-20T06:15:51+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-ax-b-cx-d/</loc>
		<lastmod>2026-05-20T06:17:23+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-%e2%88%9ax-1/</loc>
		<lastmod>2026-05-20T06:19:25+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-%e2%88%9ax-3/</loc>
		<lastmod>2026-05-20T06:21:16+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-x-2-2-x/</loc>
		<lastmod>2026-05-20T06:23:16+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-x-1/</loc>
		<lastmod>2026-05-20T06:25:06+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-x/</loc>
		<lastmod>2026-05-20T06:26:51+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-1-%e2%88%9a16-x2/</loc>
		<lastmod>2026-05-20T06:28:35+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/find-the-domain-and-range-of-the-following-real-valued-function-fx-%e2%88%9ax2-16/</loc>
		<lastmod>2026-05-20T06:30:52+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
	<url>
		<loc>https://www.ravikantsir.in/let-a-and-b-be-any-two-sets-such-that-n-a-p-and-n-b-q-then-the-total-number-of-functions-from-a-to-b-is-equal-to/</loc>
		<lastmod>2026-05-20T06:34:49+00:00</lastmod>
		<changefreq>monthly</changefreq>
		<priority>0.2</priority>
	</url>
</urlset><!-- Request ID: 1184f07e9098d2d825383e4896b1b775; Queries for sitemap: 5; Total queries: 162; Seconds: 0.04; Memory for sitemap: 2MB; Total memory: 196MB -->
