Team Gmath 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
Prove that root 2 is an irrational number Solution:- Let us assume that on the contrary that √2 is a rational number. Then there exist positive integers ‘a’ and ‘ b’ such that ⇒ Where and are coprime i.e. there HCF is 1 Squaring both side ⇒ ⇒ is divisible by 2 then also divisible … 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 6.2 class 12 maths ex 6.2 ncert solution Question 1: Show that the function given by is strictly increasing on . Solution: Therefore, the function is strictly increasing on . Question 2: Show that the function given by is strictly increasing on . Solution: , For all Therefore, the … 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
Question: Solution: Let —–(i) Let differentiate with respect to x Putting in eq (i) Divide by in numerator and denominator Let D.w.r. t.x Now OR We can do this question with another method —(i) Let Differentiate with respect to x Again taking Squaring both side Putting in (i) … 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
EXERCISE 6.1 1. Find the rate of change of the area of a circle with respect to its radius r when. (class 12 maths ex 6.1 ncert solution) (a) r = 3 cm (b) r = 4 cm. Solution: We know that the area of a circle, Therefore, the rate of change … Read more