# Tag Archives: RD Sharma Class-10

Question 1. Find the coordinates of the point which divides the line segment joining (-1, 3) and (4, – 7) internally in the ratio 3:… Read More
Question 1. Solve the following of equation graphically x + y = 3 2x + 5y = 12 Solution:  Given that, 2x + 5y =… Read More
Question 1. Determine a point that divides a line segment of length 12 cm internally in the ratio 2 : 3. Also, justify your construction.… Read More
Question 23. Prove that the points (a, 0), (0, b) and (1, 1) are collinear if, 1/a + 1/b = 1. Solution: Let us assume… Read More
Question 12. Prove that the points (a, b), (a1, b1) and (a – a1, b – b1) are collinear if ab1 = a1b. Solution: As… Read More
Question 1. Find the area of a triangle whose vertices are: (i) (6, 3), (-3, 5) and (4, -2) Solution: Let us assume ABC is… Read More
Question 1. Draw a circle of radius 6 cm. From a point 10 cm away from its centre, construct the pair of tangents to the… Read More
Prove the following trigonometric identities: Question 1. (1 – cos2 A) cosec2 A = 1 Solution: We have,  L.H.S. = (1 – cos2 A) cosec2… Read More
Prove the following trigonometric identities: Question 57. tan2 A sec2 B − sec2 A tan2 B = tan2 A − tan2 B Solution: We have,… Read More
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 1. A plot is in the form of a rectangle ABCD having semi-circle on BC as shown in the figure. If AB = 60… Read More
Question 1. Points A and B are 70km. apart on a highway. A car starts from A and another car starts from B simultaneously. If… 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