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 givesâ€¦ 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 inâ€¦ 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)â€¦ 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 toâ€¦ 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.  xâ€¦ 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).Itâ€¦ Read More
Question 12. If (a – b), (b – c), (c – a) are in G.P., then prove that (a + b + c)2 = 3(abâ€¦ 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 andâ€¦ Read More
Question 1. From the data given below state which group is more variable, A or B? Marks 10 – 20 20 – 30 30 –â€¦ 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,â€¦ Read More
Prove the following identities (1 – 13) Question 1. sec4Î¸ – sec2Î¸ = tan4Î¸ + tan2Î¸   Solution: We have sec4Î¸ – sec2Î¸ = tan4Î¸â€¦ 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) andâ€¦ Read More
Question 1. Draw a quadrilateral in the Cartesian plane, whose vertices are (â€“ 4, 5), (0, 7), (5, â€“ 5), and (â€“ 4, â€“2). Also,â€¦ Read More
Find the sum to n terms of each of the series in Exercises 1 to 7. Question 1. 1 Ã— 2 + 2 Ã— 3â€¦ Read More
Question 1. Calculate the mean and S.D. for the following data: Expenditure (in â‚¹): 0-10 10-20 20-30 30-40 40-50 Frequency: 14 13 27 21 15â€¦ Read More