{"id":4577,"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-1-1\/"},"modified":"2016-05-17T10:20:44","modified_gmt":"2016-05-17T04:50:44","slug":"ncert-solutions-class-11-maths-exercise-1-1","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-maths-exercise-1-1\/","title":{"rendered":"NCERT Solutions class-11 Maths Exercise 1.1"},"content":{"rendered":"

Exercise 1.1<\/strong><\/p>\n

1. Which of the following are sets? Justify your answer.<\/strong><\/p>\n

(i) The collection of all the months of a year beginning with the letter J.<\/strong><\/p>\n

(ii) The collection of ten most talented writers of India.<\/strong><\/p>\n

(iii) A team of eleven best-Cricket batmen of the world.<\/strong><\/p>\n

(iv) The collection of all boys in your class.<\/strong><\/p>\n

(v) The collection of all natural numbers less than 100.<\/strong><\/p>\n

(vi) A collection of novels written by the writer Munshi Prem Chand.<\/strong><\/p>\n

(vii) The collection of all even integers.<\/strong><\/p>\n

(viii) The collection of questions in the chapter.<\/strong><\/p>\n

(ix) A collection of most dangerous animals of the world.<\/strong><\/p>\n

Ans. (i) <\/strong>The collection of all months of a year beginning with J is {January, June, July}, which is well defined and hence it forms a set.<\/p>\n

(ii) <\/strong>The collection of most talented writers of India is not well defined because opinions about \u2018most talented writers\u2019 vary from person to person and hence it does not form a set.<\/p>\n

(iii) <\/strong>A team of eleven best-cricket batmen of the world us not well defined because opinion about \u2018best-cricket batsmen\u2019 vary from person to person and hence it does not form a set.<\/p>\n

(iv) <\/strong>The collection of all boys in your class is well defined and hence it forms a set.<\/p>\n

(v) <\/strong>The collection of all natural numbers less than 100 is {1, 2, 3, \u2026\u2026., 99} which is well defined and hence it forms a set.<\/p>\n

(vi) <\/strong>A collection of novels written by the writer Munshi Prem Chand is well defined and hence it forms a set.<\/p>\n

(vii) <\/strong>The collection al all even integers is which is well defined and hence it forms a set.<\/p>\n

(viii) <\/strong>The collection of questions in this chapter is well defined and hence it forms a set.<\/p>\n

(ix) <\/strong>A collection of most dangerous animals of the world is not well defined because opinion about \u2018most dangerous animals\u2019 vary from person to person and hence it does not form a set.<\/p>\n

\n

2. Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol <\/strong> or <\/strong> on the blank space:<\/strong><\/p>\n

(i) 5 _______ A <\/strong><\/p>\n

(ii) 8 _______ A <\/strong><\/p>\n

(iii) 0 _______ A<\/strong><\/p>\n

(iv) 4 _______ A <\/strong><\/p>\n

(v) 2 _______ A <\/strong><\/p>\n

(vi) 10 _______ A<\/strong><\/p>\n

Ans. <\/strong>Given: A = {1, 2, 3, 4, 5, 6}<\/p>\n

(i) <\/strong>5 is an element of set A<\/p>\n

5 A<\/p>\n

(ii) <\/strong>8 is not an element of set A<\/p>\n

8 A<\/p>\n

(iii) <\/strong>0 is not an element of set A<\/p>\n

0 A<\/p>\n

(iv) <\/strong>4 is an element of set A<\/p>\n

4 A<\/p>\n

(v) <\/strong>2 is an element of set A<\/p>\n

2 A<\/p>\n

(vi) <\/strong>10 is not an element of set A<\/p>\n

10 A<\/p>\n

\n

3. Write the following sets in roster form:<\/strong><\/p>\n

(i) A = {<\/strong> is an integer and <\/strong>}<\/strong><\/p>\n

(ii) B = {<\/strong> is a natural number less than 6}<\/strong><\/p>\n

(iii) C = {<\/strong> is a two-digit natural number such that the sum of its digits is 8}<\/strong><\/p>\n

(iv) D = {<\/strong> is a prime number which is divisor of 60}<\/strong><\/p>\n

(v) E = The set of all letters in the word TRIGONOMETRY<\/strong><\/p>\n

(vi) F = The set of all letters in the word BETTER<\/strong><\/p>\n

Ans. (i) <\/strong>A = { is an integer and } A = <\/p>\n

(ii) <\/strong>B = { is a natural number less than 6} B = {1, 2, 3, 4 5}<\/p>\n

(iii) <\/strong>C = { is a two-digit natural number such that the sum of its digits is 8}<\/p>\n

C = {17, 26, 35, 44, 53, 62, 71, 80}<\/p>\n

(iv) <\/strong>D = { is a prime number which is divisor of 60}<\/p>\n

D = {2, 3, 5}<\/p>\n

(v) <\/strong>E = The set of all letters in the word TRIGONOMETRY<\/p>\n

E = {T, R, I, G, O, N, O, M, E, T, R, Y}<\/p>\n

(vi) <\/strong>F = The set of all letters in the word BETTER<\/p>\n

F = {B, E, T, R}<\/p>\n

\n

4. Write the following sets in the set-builder form:<\/strong><\/p>\n

(i) {3, 6, 9, 12} <\/strong><\/p>\n

(ii) {2, 4, 8, 16, 32} <\/strong><\/p>\n

(iii) {5, 25, 125, 625}<\/strong><\/p>\n

(iv) {2, 4, 6, \u2026\u2026} <\/strong><\/p>\n

(v) {1, 4, 9, \u2026\u2026\u2026, 100}<\/strong><\/p>\n

Ans. (i) <\/strong>Let A = {3, 6, 9, 12}.<\/p>\n

Here all objects of the set are natural numbers that are multiples of 3.<\/p>\n

A = <\/p>\n

(ii) <\/strong>Let B = {2, 4, 8, 16, 32}<\/p>\n

Here all objects of the set are natural numbers that are power of 2.<\/p>\n

B = <\/p>\n

(iii) <\/strong>Let C = {5, 25, 125, 625}<\/p>\n

Here all objects of the set are natural numbers that are power of 5.<\/p>\n

C = <\/p>\n

(iv) <\/strong>Let D = {2, 4, 6, \u2026\u2026}<\/p>\n

Here all objects of the set are even natural numbers.<\/p>\n

D = <\/p>\n

(v) <\/strong>Let E = {1, 4, 9, \u2026\u2026\u2026, 100}<\/p>\n

Here all objects of the set are perfect square.<\/p>\n

D = <\/p>\n

\n

5. List all the elements of the following sets:<\/strong><\/p>\n

(i) A = {<\/strong> is an odd natural number}<\/strong><\/p>\n

(ii) B = {<\/strong> is an integer, <\/strong>}<\/strong><\/p>\n

(iii) C = {<\/strong> is an integer, <\/strong>}<\/strong><\/p>\n

(iv) D = {<\/strong> is a letter in the word \u201cLOYAL\u201d}<\/strong><\/p>\n

(v) E = {<\/strong> is a month of a year not having 31 days}<\/strong><\/p>\n

(vi) F = {<\/strong> is a consonant in the English alphabet which precedes K}<\/strong><\/p>\n

Ans. (i) <\/strong>A = { is an odd natural number}<\/p>\n

A = {1, 3, 5, 7, \u2026\u2026..}<\/p>\n

(ii) <\/strong>B = { is an integer, }<\/p>\n

B = {0, 1, 2, 3, 4}<\/p>\n

(iii) <\/strong>C = { is an integer, }<\/p>\n

C = <\/p>\n

(iv) <\/strong>D = { is a letter in the word \u201cLOYAL\u201d}<\/p>\n

D = {L, O, Y, A}<\/p>\n

(v) <\/strong>E = { is a month of a year not having 31 days}<\/p>\n

E = {February, April, June, September, November}<\/p>\n

(vi) <\/strong>F = { is a consonant in the English alphabet which precedes K}<\/p>\n

F = {B, C, D, F, G, H, J}<\/p>\n

\n

6. Match each of the set on the left in the roster form with the same set on the right described in the set-builder form:<\/strong><\/p>\n

(i) {1, 2, 3, 6} <\/strong><\/p>\n

(a) {<\/strong> is a prime number and a divisor of 6}<\/strong><\/p>\n

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

(b) {<\/strong> is an odd natural number less than 10}<\/strong><\/p>\n

(iii) {M, A, T, H, E, I, C, S} <\/strong><\/p>\n

(c) {<\/strong> is a natural number and divisor of 6}<\/strong><\/p>\n

(iv) {!, 3, 5, 7, 9} <\/strong><\/p>\n

(d) {<\/strong> is a letter of word \u201cMATHEMATICS\u201d}<\/strong><\/p>\n

Ans. <\/strong>The sets which are in set-builder form can be written as<\/p>\n

(a) <\/strong>{ is a prime number and a divisor of 6} = {2, 3}<\/p>\n

(b) <\/strong>{ is an odd natural number less than 10} = {1, 3, 5, 7, 9}<\/p>\n

(c) <\/strong>{ is a natural number and divisor of 6} = {1, 2, 3, 6}<\/p>\n

(d) <\/strong>{ is a letter of word \u201cMATHEMATICS\u201d} = {M, A, T, H, E, I, C, S}<\/p>\n

Hence the correct matching is:<\/p>\n

(i)<\/strong> (c)<\/p>\n

(ii)<\/strong> (a)<\/p>\n

(iii)<\/strong> (d)<\/p>\n

(iv)<\/strong> (b)<\/p>\n","protected":false},"excerpt":{"rendered":"

Exercise 1.1 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 batmen of the world. (iv) The collection of all boys in your … 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-4577","post","type-post","status-publish","format-standard","hentry","category-cbse-class-11","category-ncert-solutions"],"yoast_head":"\nNCERT Solutions class-11 Maths Exercise 1.1 | 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-1-1\/\" \/>\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 1.1 | myCBSEguide\" \/>\n<meta property=\"og:description\" content=\"Exercise 1.1 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 batmen of the world. (iv) The collection of all boys in your ... 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