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Category Archives: RD Sharma Solutions

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 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
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