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Tag Archives: RD Sharma Class-12

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 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. Show that the three lines with direction cosines 12/13, -3/13, – 4/13; 4/13, 12/13, 3/13; 3/13, – 4/13, 12/13 are mutually perpendicular. Solution:… Read More
Question 13. Find the equations of the line passing through the point (−1, 2, 1) and parallel to the line . Solution: The equation of line  can… Read More