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RD Sharma Chapter 4 : Algebraic Identities Multiple Choice Questions (MCQs) Solutions
If x + 1/x = 5, then x^2 + 1/x^2 = Watch Solution
If x + 1/x = 2, then x^3 + 1/x^3 = Watch Solution
If x + 1/x = 4, then x^4 + 1/x^4 = Watch Solution
If x + 1/x = 3, then x^6 + 1/x^6 = Watch Solution
If x^2 + 1/x^2 =102, then x – 1/x = Watch Solution
If x^3 + 1/x^3 =110, then x + 1/x = Watch Solution
If x^3 – 1/x^3 =14, then x – 1/x = Watch Solution
If a + b + c = 9 and ab + bc + ca = 23, then a^2 + b^2 + c^2 = Watch Solution
(a – b)^3 + (b – c)^3 + (c – a)^3 = Watch Solution
If a + b = 3 and ab = 2, then a^3 + b^3 = Watch Solution
If a – b = -8 and ab = -12, then a^3 – b^3 = Watch Solution
If the volume of a cuboid is 3x^2 – 27, then its possible dimensions are Watch Solution
75 × 75 + 2 × 75 × 25 + 25 × 25 is equal to Watch Solution
(x – y)(x + y)(x^2 + y^2)(x^4 + y^4) is equal to Watch Solution
If x^4 + 1/x^4 = 623, then x + 1/x = Watch Solution
If x^4 + 1/x^4 = 194. then x^3 + 1/x^3 = Watch Solution
If x – 1/x = 15/4, then x + 1/x = Watch Solution
If 3x + 2/x = 7, then (9x^2 – 4/x^2) = Watch Solution
If a^2 + b^2 + c^2 – ab – bc – ca = 0, then Watch Solution
If a + b + c = 0, then a^2/bc + b^2/ca + c^2/ab = Watch Solution
If a^1/3 + b^1/3 + c^1/3 = 0, then Watch Solution
If a + b + c = 9 and ab + bc + ca = 23, then a^3 + b^3 + c^3 – 3abc = Watch Solution
{(a^2 – b^2) + (b^2 – c^2)^3 + (c^2 – a^2)^3}/{(a – b)^3 + (b – c)^3 + (c – a)^3} = Watch Solution
The product (a + b)(a – b)(a^2 – ab + b^2)(a^2 + ab + b^2) is equal to Watch Solution
The product (x^2 – 1)(x^4 + x^2 + 1) is equal to Watch Solution
If a/b + b/a = 1, then a^2 + b^2 = Watch Solution
If 49a^2 – b = (7a + 1/2)(7a – 1/2), then the value of b is Watch Solution
One of the factors of (25x^2 – 1) + (1 + 5x)^2 is Watch Solution
If 9x^2 – b = (3x + 1/2)(3x – 1/2), then the value of b is Watch Solution
The coefficient of x in (x + 3)^3 is Watch Solution
The value of 249^2 – 248^2 is Watch Solution
Which of the following is a factor of (x + y)^3 – (x^3 + y^3) ? Watch Solution
If x/y + y/x = -1 (x, y ≠ 0), the value of x^3 – y^3 is Watch Solution
If x + y = 2 and xy = 1, then x^4 + y^4 = Watch Solution
If x^2 + y^2 + xy = 1 and x + y = 2, then xy = Watch Solution
If a, b, c are natural numbers such that a^2 + b^2 + c^2 = 29 and ab + bc + ca = 26, and a + b + c = ____. Watch Solution
If 2x + y/3 = 12 and xy = 30, then 8x^3 + y^3/27 = Watch Solution
Each of the following questions contains STATEMENT-1 (Assertion) and STATEMENT-2 (Reason) and has following four choices (a), (b), (c) and (d), only one of which is the correct answer. Mark the correct choice. (a) Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1. (b) Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1. (c) Statement-1 is true, Statement-2 is false. (d) Statement-1 is false, Statement-2 is true. Statement-1 (Assertion): If a+b+c= 0, then a^3+b^3+c^3 = 3abc Statement-2 (Reason): a^3+b^3+c^3- 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) Watch Solution
Statement-1 (Assertion): If (a+b+c)^2 = a^2+b^2+c^2-2(ab+bc+ca) Statement-2 (Reason): a^3+b^3+c^3- 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) Watch Solution
Statement-1 (Assertion): If a^3+3/8ax+1/64 x^3 -1/8 = (a+x/4-1/2)(a^2+x^2/16+1/4-ax/4+x/8+a/2) Statement-2 (Reason): a^3+b^3+c^3+ 3abc = (a+b+c)(a^2+b^2+c^2+ab+bc+ca) Watch Solution
Statement-1 (Assertion): If a+b+c=6, ab+bc+ca = 11, then a^2+b^2+c^2 = 14 Statement-2 (Reason): (a+b+c)^2 = a^2 + b^2 + c^2 + 2(ab + bc + ca) Watch Solution
Statement-1 (Assertion): {(x^2-y^2)^3 + (y^2-z^2)^3 + (z^2-x^2)^3}/{(x-y)^3 + (y-z)^3 + (z-x)^3} = (x+y)(y+z)(z+x) Statement-2 (Reason): If a+b+c=0, then a^3+b^3+c^3 = 3abc Watch Solution
Statement-1 (Assertion): The square root of 1/abc (a^2+b^2+c^2) +2(1/a+1/b+1/c) is √a/bc + √b/ca + √c/ab Statement-2 (Reason): a^3+b^3+c^3 – 3abc = (a+b+c)(a^2+b^2+c^2-ab-bc-ca) Watch Solution
4. Algebraic Identities – R.D. Sharma Class 9th Maths
Algebraic Identities Exercise 4.1 Video Solutions Algebraic Identities Exercise 4.2 Video Solutions Algebraic Identities Exercise 4.3 Video Solutions Algebraic Identities Exercise 4.4 Video Solutions Algebraic Identities Exercise 4.5 Video Solutions Algebraic Identities Very Short Answer Questions (VSAQs) Video Solutions Algebraic Identities Fill in the Blanks (FBQs) Video Solutions Algebraic Identities Multiple Choice Questions (MCQs) Video Solutions
