# Category Archives: Class 11

A function is a mathematical object which associates each input with exactly one output. For example: If a function takes on any input and gives… Read More
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
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