# Tag Archives: RD Sharma Class-10

Question 1. Find the centroid of the triangle whose vertices are: (i) (1, 4), (-1, -1), and (3, -2) Solution: Given, vertices of triangle are… Read More
Question 20. The three vertices of a parallelogram are (3, 4), (3, 8), and (9, 8). Find the fourth vertex. Solution: Let ABCD be a… Read More
Question 40. Prove that the points (3, 0), (4, 5), (-1, 4), and (-2, -1) taken in order, form a rhombus. Also, find its area.… Read More
Solve each of the following systems of equations by the method of cross multiplication. Question 15. 2ax + 3by = a + 2b and 3ax… Read More
Question 1. A father is three times as old as his son. After twelve years, his age will be twice as that of his son… Read More
Solve each of the following systems of equations by the method of cross multiplication. Question 1. x + 2y + 1 = 0 and 2x… Read More
Question 1. Find the discriminant of the following quadratic equations: (i) 2x2 – 5x + 3 = 0   Solution: Given quadratic equation: 2x2 – 5x… Read More
Question 1. Find the distance between the following pair of points: (i) (-6, 7) and (-1,-5) (ii) (a + b, b + c) and (a… Read More
Question 1. If cos θ = 4/5, find all other trigonometric ratios of angle θ.   Solution: We are given, cos θ = 4/5. So,… Read More
Question 13. The perimeters of two similar triangles are 25 cm and 15 cm, respect. If one side of the first triangle is 9 cm,… Read More
Question 1. In fig., ΔACB ∼ ΔAPQ. If BC = 8 cm, PQ = 4 cm, BA = 6.5 cm and AP = 2.8 cm,… Read More
Question 1. If the sides of a triangle are 3 cm, 4 cm, and 6 cm long, determine whether the triangle is a right-angled triangle.… Read More
Question 15. Each side of a rhombus is 10 cm. If one of its diagonals is 16 cm, find the length of the other diagonal.… Read More
Question 25. A hemispherical depression is cut from one face of a cubical wooden block of the edge 21 cm such that the diameter of… Read More
Question 13. A vessel is a hollow cylinder fitted with a hemispherical bottom of the same base. The depth of the cylinder is 14/3 and… Read More