# Tag Archives: RD Sharma Class-12

Question 1. Find the maximum and the minimum values, if any, without using derivatives of the function f (x) = 4x2 – 4x + 4… Read More
Question 1. Let * be a binary operation on Z defined by a * b = a + b – 4 for all a, b… Read More
Question 1: Prove that the function f(x) = loge x is increasing on (0,∞). Solution: Let x1, x2 ∈ (0, ∞) We have, x1<x2 ⇒… Read More
Question 1. Find the rate of change of the total surface area of a cylinder of radius r and height h, when the radius varies.… Read More
Question 1. Represent the following graphically: (i) a displacement of 40 km, 30° east of north (ii) a displacement of 50 km, south-east (iii) a… Read More
Question 11: Find x, y and z so that A = B, where A= . Solution: As it is given that the matrices are equal, every… Read More
Question 1: If a matrix has 8 elements, what are the possible orders it can have? What if it has 5 elements? Solution:  Part 1:… Read More
Question 1. Find the principal value of each of the following :   (i) Sin-1(- √3/2) (ii) Sin-1(cos 2π/3) (iii)Sin-1(-√3 – 1/2√2)  (iv) Sin-1(√3 + 1/2√2)  (v) Sin-1(cos… Read More
Question 1. Construct the composition table for ×4 on set S = {0,1,2,3}. Solution: Given that ×4  on set S = {0, 1, 2, 3}… Read More
Question 13: Two cards are selected at random from a box which contains five cards numbered 1,1,2,2, and 3. Let X denote the sum and… Read More
Calculate the mean deviation from the median of the following frequency distribution : Question 1(i): Find the mean and standard deviation of each of the… Read More
Question 1: From a pack of 52 cards, Two are drawn one by one without replacement. Find the probability that both of them are kings.… Read More