# Tag Archives: RD Sharma Class-12

Question 1. Discuss the applicability of Rolleâ€™s Theorem for the following functions on the indicated intervals: (i) f(x) = 3 + (x – 2)2/3 onâ€¦ 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 theâ€¦ Read More
Question 8. If  for x â‰  Ï€/4, find the value which can be assigned to f(x) at x = Ï€/4 so that the function f(x) becomesâ€¦ 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 weâ€¦ 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 isâ€¦ 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 notâ€¦ 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 leastâ€¦ Read More
Question 38. Write the value of the determinant . Solution:  We have, A =  |A| =  On taking 2x common from R3 we get, |A| = â€¦ Read More
Question 19. Let A = [aij] be a square matrix of order 3 Ã— 3 and Cij denote the cofactor of aij in A. Ifâ€¦ Read More
Question 14. Find the equation of the plane passing through the intersection of the planes x – 2y + z = 1 and 2x +â€¦ 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 â€¦ Read More
Question 1. Find the angle between the line     and the plane . Solution: Given that, the line is     and the plane is . So,  As we knowâ€¦ Read More
Question 27. There are three coins. One is a two-headed coin, another is a biased coin that comes up heads 75% of the time andâ€¦ Read More
Question 14. An item is manufactured by three machines A, B, and C. Out of the total number of items manufactured during a specified period,â€¦ Read More
Question 1. The contents of urns I, II, III are as follows: Urn I: 1 white, 2 black, and 3 red balls Urn II: 2â€¦ Read More