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Category Archives: RD Sharma Solutions

Question 1: Calculate the area of the region bounded by the parabolas y2 = 6x, x2 = 6y. Solution: Given,  y2 = 6x, x2 =… Read More
Question 1. Discuss the applicability of Rolle’s Theorem for the following functions on the indicated intervals: (i) f(x) = 3 + (x – 2)2/3 on… Read More
Question 1. Prove that the function is continuous everywhere. Solution: We know sin x/ x is continuous everywhere since it is the composite function of the… Read More
Question 8. If  for x ≠ π/4, find the value which can be assigned to f(x) at x = π/4 so that the function f(x) becomes… Read More
Question 1. If A is a singular matrix, then find the value of |A|. Solution: Given that A is a singular matrix. So, as we… Read More
Question 19. A bag contains 7 green, 4 white, and 5 red balls. If four balls are drawn one by one with replacement, what is… Read More
Question 1. There are 6% defective items in a large bulk of items. Find the probability that a sample of 8 items will include not… Read More
Question 37. An experiment succeeds twice as often as it fails. Find the probability that in the next 6 trials there will be at least… Read More
Question 38. Write the value of the determinant . Solution:  We have, A =  |A| =  On taking 2x common from R3 we get, |A| = … Read More
Question 19. Let A = [aij] be a square matrix of order 3 × 3 and Cij denote the cofactor of aij in A. If… Read More
Question 14. Find the equation of the plane passing through the intersection of the planes x – 2y + z = 1 and 2x +… Read More
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 1. Show that the lines  and  intersect and find their point of intersection. Solution: Given that the coordinates of any point on the first line are … Read More