Functions in math can be thought of as vending machines. Given the money in the form of input, they give some cans or cookies in… Read More

# Category Archives: Class 11

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

A function can be thought of as a rule or set of rules which map an input to an output knows as its image. x… Read More

The measure of spread represents the amount of dispersion in a data-set. i.e how spread-out are the values of data-set around the central value(example- mean/mode/median).It… 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

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. From the data given below state which group is more variable, A or B? Marks 10 – 20 20 – 30 30 –… 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

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

Chapter 10 Straight Lines – Exercise 10.2 | Set 1 Question 11. A line perpendicular to the line segment joining the points (1, 0) and… Read More

Question 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5), and (– 4, –2). Also,… Read More

Find the sum to n terms of each of the series in Exercises 1 to 7. Question 1. 1 × 2 + 2 × 3… Read More

Question 1. Calculate the mean and S.D. for the following data: Expenditure (in ₹): 0-10 10-20 20-30 30-40 40-50 Frequency: 14 13 27 21 15… Read More

In Exercises 1 to 8, find the equation of the line which satisfy the given conditions: Question 1. Write the equations for the x-and y-axes.… Read More