# Category Archives: Class 11

Solve the inequalities in Exercises 1 to 6. Question 1. 2 ≤ 3x – 4 ≤ 5  Solution: In this case, we have two inequalities,… Read More
Question 8. Find sets A, B and C, such that A ∩ B and B ∩ C and A ∩ C are non-empty sets, and… Read More
Question 1. Find the smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9}. Solution: A ∪ {1, 2} =… Read More
Question 9. Write down all subsets of the following subsets:  (i) {a} (ii) {0,1} (iii){a,b,c} (iv){1,{1}} (v) {ϕ} Solution: We know, if A is a… Read More
Question 1. Which of the following statements are true? Give a reason to support your answer. (i) For any two sets A and B either… Read More
Find the mean deviation about the mean for the data in questions 1 and 2.  Question 1.  4, 7, 8, 9, 10, 12, 13, 17… Read More
Question 1. If A and B are two sets such that A ⊂ B, then Find: (i) A ⋂ B (ii) A ⋃ B Solution:… Read More
Question 15.  There are three copies each of 4 different books. In how many ways can they be arranged in a shelf? Solution:    Total… Read More
Question 1. Find the number of words formed by permuting all the letters of the following words : (i) INDEPENDENCE (ii) INTERMEDIATE (iii) ARRANGE (iv)… Read More
Question 33. How many four digit natural numbers not exceeding 4321 can be formed with the digits 1,2,3,4, if the digits can repeat? Solution: Total… Read More
Question 17. How many three-digit numbers are there? Solution: Ways of selecting 100th place = 9P1 = 9 (Selecting from all digits except 0) Ways… Read More
Question 1.  In a class, there are 27 boys and 14 girls. The teacher wants to select 1 boy and 1 girl to represent the… Read More
Question 1. In how many ways can the letters of the word ‘FAILURE’ be arranged so that the consonants may occupy only odd positions? Solution:… Read More
Question 1. Evaluate  Solution: Question 2. Evaluate  Solution: Question 3. Evaluate  Solution: Question 4. Evaluate  Solution:  Question 5. Evaluate  Solution: Question 6. Evaluate  Solution: Question… Read More
Find the principal and general solutions of the following equations: Question 1. tan x = √3 Solution: Given: tan x = √3 Here, x lies… Read More