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

# Tag Archives: RD Sharma Class-12

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 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

Question 1. Find the angle between the line and the plane . Solution: Given that, the line is and the plane is . So, As we know… 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 and… 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,… 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: 2… Read More