The core vision behind the School Learning initiative of GeeksforGeeks is to provide the school students with quality learning resources and to make the learning… Read More

# Category Archives: RD Sharma Solutions

Question 10. If f, g, h are three functions defined from R to R as follows: (i) f(x) = x2 (ii) g(x) = sinx (iii)… Read More

Question 1. Define a function as a set of ordered pairs. Solution: Let A and B be two non-empty sets. A relation from A to… Read More

Question 1: Define the following terms: (i) Observations Solution: Observation is the value of a particular variable at a particular period.OREach entry in the given… Read More

Question 1. If f(x) = 2x3-13x2+17x+12, find 1. f(2) 2. f(-3) 3. f(0) Solution: Given: f(x)=2x3-13x2+17x+12 1. f(2) We need to substitute the ‘2’ in… Read More

Question 12. If (a – b), (b – c), (c – a) are in G.P., then prove that (a + b + c)2 = 3(ab… Read More

Determine the order and degree of the following differential equation. State also whether it is linear or non-linear(Question 14-26) Question 14. Solution: We have,… Read More

Question 1. If a, b, c are in G.P., prove that log a, log b, log c are in A.P. Solution: Given: a, b and… Read More

Question 1. Find the mean, variance and standard deviation for the following data: (i) 2, 4, 5, 6, 8, 17 (ii) 6, 7, 10, 12,… Read More

Question 1. If the heights of 5 persons are 140 cm, 150 cm, 152 cm, 158 cm and 161 cm respectively. Find the mean height.… Read More

Question 13. The traffic police recorded the speed (in km/hr) of 10 motorists as 47, 53, 49, 60, 39, 42, 55, 57, 52, 48. Later… Read More

Prove the following identities (1 – 13) Question 1. sec4θ – sec2θ = tan4θ + tan2θ Solution: We have sec4θ – sec2θ = tan4θ… Read More

Problem 1: The marks obtained by 40 students of class VIII in an examination are given below: 16, 17, 18, 3, 7, 23, 18, 13,… Read More

Question 9. One side of a rhombus is of length 4 cm and the length of an altitude is 3.2 cm. Draw the rhombus. Solution: Steps… Read More

Question 1. Find the area of the pentagon shown in figure below, if AD = 10 cm, AG = 8 cm, AH = 6 cm,… Read More