Sets

Class 11 Chapter 1 Set Ex 1.2 NCERT Solutions

7. Which of the following are examples of the null set

(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 any two parallel lines}

<h3>Class 11 Chapter 1 Set Ex 1.2 NCERT Solutions</h3> <p><strong>Q1. Which of the following are examples of the null set</strong></p> <p><strong>(i)</strong> Set of odd natural numbers divisible by 2</p> <p><strong>(ii)</strong> Set of even prime numbers</p> <p><strong>(iii)</strong> {x : x is a natural numbers, x &lt; 5 and x &gt; 7}</p> <p><strong>(iv)</strong> {y : y is a point common to any two parallel lines}</p>

6. Match each of the set on the left in the roster form with the same set on the right described in set-builder form:

(i) {1, 2, 3, 6}                             (a) {x : x is a prime number and a divisor of 6}

(ii) {2, 3}                                   (b) {x : x is an odd natural number less than 10}

(iii) {M,A,T,H,E,I,C,S}                 (c) {x : x is natural number and divisor of 6}

(iv) {1, 3, 5, 7, 9}                       (d) {x : x is a letter of the word MATHEMATICS}.

5. List all the elements of the following sets :

(i) A = {x : x is an odd natural number}

(ii) B = {x : x is an integer, $-\frac{1}{2}<x<\frac{9}{2}$

(iii) C = {x : x is an integer, $x^2\le 4$ }

(iv) D = {x : x is a letter in the word “LOYAL”}

(v) E = {x : x is a month of a year not having 31 days}

(vi) F = {x : x is a consonant in the English alphabet which precedes k }.

4. Write the following sets in the set-builder form:

(i) (3, 6, 9, 12}

(ii) {2,4,8,16,32}

(iii) {5, 25, 125, 625}

(iv) {2, 4, 6, . . .}

(v) {1,4,9, . . .,100}

3. Write the following sets in roster form:

(i) A = {x : x is an integer and –3< x < 7}

(ii) B = {x : x is a natural number less than 6}

(iii) C = {x : x is a two-digit natural number such that the sum of its digits is 8}

(iv) D = {x : x is a prime number which is divisor of 60}

(v) E = The set of all letters in the word TRIGONOMETRY

(vi) F = The set of all letters in the word BETTER

2. Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol $\in$ or $\notin$ in the blank spaces:

(i) 5. . .A

(ii) 8 . . . A

(iii) 0. . .A

(iv) 4. . . A

(v) 2. . .A

(vi) 10. . .A

Class 11 Chapter 1 Set Exercise 1.1 NCERT Solutions

1. Which of the following are sets? Justify your answer.

(i) The collection of all the months of a year beginning with the letter J.

(ii) The collection of ten most talented writers of India.

(iii) A team of eleven best-cricket batsmen of the world.

(iv) The collection of all boys in your class.

(v) The collection of all natural numbers less than 100.

(vi) A collection of novels written by the writer Munshi Prem Chand.

(vii) The collection of all even integers.

(viii) The collection of questions in this Chapter.

(ix) A collection of most dangerous animals of the world.

<h3>Class 11 Chapter 1 Set Exercise 1.1 NCERT Solutions</h3> <p><strong>Q1. Which of the following are sets? Justify your answer.</strong></p> <p><strong>(i) </strong>The collection of all the months of a year beginning with the letter J.</p> <p><strong>(ii) </strong>The collection of ten most talented writers of India.</p> <p><strong>(iii) </strong>A team of eleven best-cricket batsmen of the world.</p> <p><strong>(iv) </strong>The collection of all boys in your class.</p> <p><strong>(v) </strong>The collection of all natural numbers less than 100.</p> <p><strong>(vi) </strong>A collection of novels written by the writer Munshi Prem Chand.</p> <p><strong>(vii) </strong>The collection of all even integers.</p> <p><strong>(viii) </strong>The collection of questions in this Chapter.</p> <p><strong>(ix) </strong>A collection of most dangerous animals of the world.</p>