Chapter 1(Miscellaneous) Class 11 1. Decide, among the following sets, which sets are subsets of one and another. A= {x: x ∈ R and x satisfy x2 – 8x + 12 = 0} B = {2, 4, 6} C = {2, 4, 6, 8…} D = {6} Solution: According to the question, We have, A = … Read more
EXERCISE 1.6 Ex 1.6 sets ncert maths solution class 11 1. If X and Y are two sets, such that n(X) = 17, n(Y) = 23 and n(X ∪ Y) = 38, find n(X ∩ Y). Solution: Given, n (X) = 17, n (Y) = 23, n (X U Y) = 38 We know that n (X … Read more
EXERCISE 1.5 (Ex 1.5 sets ncert maths solution class 11) 1. Let U = {1, 2, 3; 4, 5, 6, 7, 8, 9}, A = {1, 2, 3, 4}, B = {2, 4, 6, 8}, and C = {3, 4, 5, 6}. Find (i) A’ (ii) B’ (iii) (A U … Read more
EXERCISE 1.4 1. Find the union of each of the following pairs of sets:(Ex 1.4 sets ncert maths solution class 11) (i) X = {1, 3, 5} Y = {1, 2, 3} (ii) A = {a, e, i, o, u} B = {a, b, c} (iii) A = {x: x is a natural number and multiple of 3} B = {x: x is a natural … Read more
EXERCISE 1.3 1. Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:(Ex 1.3 sets ncert maths solution class 11) (i) {2, 3, 4} … {1, 2, 3, 4, 5} (ii) {a, b, c} … {b, c, d} (iii) {x: x is a student of Class XI of your school} … {x: x student of your school} (iv) {x: x is a … Read more
EXERCISE 1.2 1. Which of the following are examples of the null set? (Ex 1.2 sets ncert maths solution class 11) (i) Set of odd natural numbers divisible by 2 (ii) Set of even prime numbers (iii) {x: x is a natural numbers, x < 5 and x > 7} (iv) {y: y is a point common to … Read more
EXERCISE 1.1 1. Which of the following are sets? Justify our answer.(Ex 1.1 ncert maths solution class 11 ) (i) The collection of all months of a year beginning with the letter J. (ii) The collection of the ten most talented writers of India. (iii) A team of eleven best-cricket batsmen of the world. (iv) The … Read more
With step-by-step explanations and a focus on clarity, these Class 12 NCERT solutions for Math Exercise 1.2 empower students to grasp the nuances of functions, setting a strong foundation for further mathematical exploration. Whether you’re gearing up for exams or aiming for a deeper understanding, these solutions make the journey through Class 12 Mathematics a … Read more
Welcome to Exercise 1.1, your gateway to the captivating world of equivalence relations in your Class 12 mathematics journey. In this exercise, you’re about to embark on a mathematical adventure that goes beyond mere equations and numbers; you’ll explore the profound concepts of equivalence, symmetry, and transitivity, which have far-reaching applications in various fields of … Read more