{"id":4578,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-2\/"},"modified":"2016-05-17T10:22:12","modified_gmt":"2016-05-17T04:52:12","slug":"ncert-solutions-class-11-maths-exercise-1-2","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-2\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 1.2"},"content":{"rendered":"

Exercise 1.2<\/strong><\/p>\n

1. Which of the following are examples of the null set:<\/strong><\/p>\n

(i) Set of odd natural numbers divisible by 2.<\/strong><\/p>\n

(ii) Set of even prime numbers.<\/strong><\/p>\n

(iii) {<\/strong> is a natural number, <\/strong> and <\/strong>}<\/strong><\/p>\n

(iv) {<\/strong> is a point common to any two parallel lines}<\/strong><\/p>\n

Ans. (i) <\/strong>Set of odd natural numbers divisible by 2 is an empty set because odd natural numbers are not divisible by 2.<\/p>\n

(ii) <\/strong>Set of even prime numbers is {2} which is not empty set.<\/p>\n

(iii) <\/strong>{ is a natural number, and } is an empty set because there is no natural number which satisfies simultaneously and .<\/p>\n

(iv) <\/strong>{ is a point common to any two parallel lines} is an empty set because two parallel lines do not have a common point.<\/p>\n

\n

2. Which of the following sets are finite or infinite:<\/strong><\/p>\n

(i) The set of months of a year.<\/strong><\/p>\n

(ii) {1, 2, 3, \u2026\u2026\u2026..}<\/strong><\/p>\n

(iii) {1, 2, 3, \u2026\u2026\u2026\u2026.., 99, 100}<\/strong><\/p>\n

(iv) The set of positive integers greater than 100.<\/strong><\/p>\n

(v) The set of prime numbers less than 99.<\/strong><\/p>\n

Ans. (i) <\/strong>The set of months of a year is finite set because there are 12 months in a year.<\/p>\n

(ii) <\/strong>{1, 2, 3, \u2026\u2026\u2026..} is an infinite set because there are infinite elements in the set.<\/p>\n

(iii) <\/strong>{1, 2, 3, \u2026\u2026\u2026\u2026.., 99, 100} is a finite set because the set contains finite number of elements.<\/p>\n

(iv) <\/strong>The set of positive integers greater than 100 is an infinite set because there are infinite number of positive integers greater than 100.<\/p>\n

(v) <\/strong>The set of prime numbers less than 99 is a finite set because the set contains finite number of elements.<\/p>\n

\n

3. State whether each of the following sets is finite or infinite:<\/strong><\/p>\n

(i) The set of lines which are parallel to the <\/strong>axis.<\/strong><\/p>\n

(ii) The set of letters in the English alphabet.<\/strong><\/p>\n

(iii) The set of numbers which are multiple of 5.<\/strong><\/p>\n

(iv) The set of animals living on the earth.<\/strong><\/p>\n

(v) The set of circles passing through the origin (0, 0).<\/strong><\/p>\n

Ans. (i) <\/strong>The set of lines which are parallel to the axis is an infinite set because we can draw infinite number of lines parallel to axis.<\/p>\n

(ii) <\/strong>The set of letters in the English alphabet is a finite set because there are 26 letters in the English alphabet.<\/p>\n

(iii) <\/strong>The set of numbers which are multiple of 5 is an infinite set because there are infinite multiples of 5.<\/p>\n

(iv) <\/strong>The set of animals living on the earth is a finite set because the number of animals living on the earth is every large but finite.<\/p>\n

(v) <\/strong>The set of circles passing through the origin (0, 0) is an infinite set because we can draw infinite number of circles through origin in different radii.<\/p>\n

\n

4. In the following, state whether A = B or not:<\/strong><\/p>\n

(i) A = <\/strong> B = <\/strong><\/p>\n

(ii) A = {4, 8, 12, 16} B = {8, 4, 16, 18}<\/strong><\/p>\n

(iii) A = {2, 4, 6, 8, 10} B = {<\/strong> is a positive even integer and <\/strong>}<\/strong><\/p>\n

(iv) A = {<\/strong> is a multiple of 10} B = {10, 15, 20, 25, 30, \u2026.}<\/strong><\/p>\n

Ans. (i) <\/strong>A = and B = are equal sets because order of elements does not change a set. Therefore, A = B = <\/p>\n

(ii) <\/strong>A = {4, 8, 12, 16} and B = {8, 4, 16, 18} are not equal sets because 12 A, 12 B and 18 B, 19 A<\/p>\n

(iii) <\/strong>A = {2, 4, 6, 8, 10} and B = { is a positive even integer and } which can be written in roster form as B = {2, 4, 6, 8, 10} are equal sets.<\/p>\n

(iv) <\/strong>A = { is a multiple of 10} can be written in roster form as A = {10, 20, 30, 40, \u2026..} and B = {10, 15, 20, 25, 30, \u2026.} are not equal sets because 15 B, 15 A.<\/p>\n

\n

5. Are the following pairs of sets equal? Give reason.<\/strong><\/p>\n

(i) A = {2, 3} and B = {<\/strong> is a solution of <\/strong>}<\/strong><\/p>\n

(ii) A = :<\/strong> is a letter in the word FOLLOW}<\/strong><\/p>\n

B = { is a letter in the word WOLF}<\/strong><\/p>\n

Ans. (i) <\/strong>A = {2, 3} and B<\/p>\n

= { is a solution of }<\/p>\n

Here <\/p>\n

<\/p>\n

<\/p>\n

B = <\/p>\n

Therefore, A and B are not equal sets.<\/p>\n

(ii) <\/strong>A = : is a letter in the word FOLLOW} = {F, O, L, W}<\/p>\n

B = { is a letter in the word WOLF} = {W, O, L, F}<\/p>\n

Therefore, A = B = {F, O, L, W}<\/p>\n

\n

6. From the sets given below, select equal sets:<\/strong><\/p>\n

A = {2, 4, 8, 12} <\/strong><\/p>\n

B = {1, 2, 3, 4} <\/strong><\/p>\n

C = {4, 8, 12, 14}<\/strong><\/p>\n

D = {3, 1, 4, 2} <\/strong><\/p>\n

E = <\/strong><\/p>\n

F = <\/strong><\/p>\n

G = <\/strong><\/p>\n

H = {0, 1}<\/strong><\/p>\n

Ans. <\/strong>From the given sets, Set B and D have same elements and also sets E and G have same element.<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 1.2 1. 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) { is a natural number, and } (iv) { is a point common to any two parallel lines} Ans. (i) Set of odd natural numbers divisible … Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[47,281],"tags":[],"class_list":["post-4578","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 1.2 | myCBSEguide<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"NCERT Solutions class-11 Maths Exercise 1.2 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 1.2 1. 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) { is a natural number, and } (iv) { is a point common to any two parallel lines} Ans. (i) Set of odd natural numbers divisible ... 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