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Tag Archives: RD Sharma Class-10

Prove the following trigonometric identities: Question 29.   Solution: We have, L.H.S. =  =  =  = 1 + cos θ =  =  =  = R.H.S. Hence… Read More
Question 1: Find the roots of the following quadratic (if they exist) by the method of completing the square: . Solution: Given:  We have to make… Read More
Question 35. In the figure, AB and CD are two diameters of a circle perpendicular to each other and OD is the diameter of the… Read More
Question 18. In the given figure, Find the area of the shaded region. (Use π = 3.14).   Solution: The side of the square =… Read More
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