# Tag Archives: RD Sharma Class-11

Question 11. Find the equation of the parabola whose focus is (5, 2) and having a vertex at (3, 2).  Solution: Given that, the vertex… Read More
Question 1. Find the equation of the parabola whose:  (i) Focus is (3, 0) and the directrix is 3x + 4y = 1 Solution: Given… Read More
Question 1. Find the axis of symmetry of the parabola y2 = x.  Solution: We are given, => y2 = x We know this parabola… Read More
Question 11. Find the equation of the ellipse whose foci are at (±3, 0) and which passes through (4, 1). Solution: Let the equation of… Read More
Question 1. Find the equation of the ellipse whose focus is (1,–2) and directrix is 3x – 2y + 5 = 0, and eccentricity is… Read More
RD Sharma Solutions for Class 11 covers different types of questions with varying difficulty levels. Practising these questions with solutions may ensure that students can… Read More
Question 41. If (sin x)y = (cos y)x, prove that . Solution: We have,  => (sin x)y = (cos y)x On taking log of both the… Read More
Question 1(i). Solve the following systems of linear inequation graphically: 2x + 3y ≤ 6 3x + 2y ≤ 6 x ≥ 0, y ≥… Read More
Question 1. The equation of the directrix of a hyperbola is x – y + 3 = 0. Its focus is (-1, 1) and eccentricity… Read More
Question 33. Prove that n11/11 + n5/5 + n3/3 – 62/165n is true for all n ∈ N. Solution: Let, P(n) = n11/11 + n5/5… Read More
Prove the following by the principle of mathematical induction: Question 17. a + ar + ar2 + … + arn-1  = a [(rn – 1)/(r… Read More
Prove the following by the principle of mathematical induction: Question 1. 1 + 2 + 3 + … + n = n (n +1)/2 i.e.,… Read More
Question 1. Differentiate f(x) = x4 – 2sinx + 3cosx with respect to x. Solution: Given that, f(x) = x4 – 2sinx + 3cosx Now,… Read More
Question 27. If the 3rd, 4th, 5th and 6th terms in the expansion of (x + α)n be respectively a, b, c, and d, prove… Read More
Question 14. Find the middle terms in the expansion of: (i) (3x – x3/6)9 Solution: We have, (3x – x3/6)9 where, n = 9 (odd… Read More