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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. 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. 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