Set: NCERT Solution for class 11 Math
In NCERT solution for math for Set of class 11 chapter 1 get NCERT and CBSE questions,set worksheet,solve answers.
Chapter 1 (Set)
Exercise: 1.1
Question 1:
Which of the following are sets? Justify your answer.
(i) The collection of all 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.
Answer 1:
(i) The collection of all months of a year beginning with the letter J is a set because it is well defined.
(ii) The collection of ten most talented writers of India is not a set because it is not well defined.
(iii) A team of eleven best cricket batsmen of the world iscoll a set because it is not well defined.
(iv) The collection of all boys in your class is a set because it is well defined.
(v) The collection of all natural numbers less than 100 is a set because it is well defined.
(vi) A collection of novels written by the writer Munshi Prem Chand is a set because it is well defined.
(vii) The collection of all even integers is a set because it is well defined.
(viii) The collection of questions in this chapter is a set because it is well defined.
(ix) The collection of most dangerous animals of the world is not a set because it is not well defined.
Question 2:
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈or ∉ in the blank spaces:
(i) 5…A (ii) 8…A (iii) 0…A (iv) 4…A (v) 2…A (vi) 10…A
Answer 2:
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(i) 5 ∈ A
(ii) 8 ∉ A
(iii) 0 ∉ A
(iv) 4 ∈ A
(v) 2 ∈ A
(vi) 10 ∉ A
NCERT Class 11: Set: Question 3:
Write the following sets in roster form:
(i) A = {x: x is an integer and –3 < x < 7}.
Answer: A = {–2, –1, 0, 1, 2, 3, 4, 5, 6}
(ii) B = {x: x is a natural number less than 6}.
Answer: B={1,2,3,4,5}
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
Answer: C={17,26,35,44,53,62,71,80}
(iv) D = {x: x is a prime number which is divisor of 60}.
Answer: D= {2,3,5,}
(v) E = The set of all letters in the word TRIGONOMETRY.
Answer: E= {T,R,I,G,O,N,M,E,Y}
(vi) F = The set of all letters in the word BETTER.
Answer: F= {B,E,T,R}
Set Question 4:
Write the following sets in the set-builder form:
(i) (3, 6, 9, 12)
Answer: A= {x: x = 3n, n∈ N and 1 ≤ n ≤ 4}
(ii) {2, 4, 8, 16, 32}
Answer: B= {x: x = 2n, n∈ N and 1 ≤ n ≤ 5}
(iii) {5, 25, 125, 625}
Answer: C= {x: x = 5n, n ∈ N and 1 ≤ n ≤ 4}
(iv) {2, 4, 6 …} is
Answer: D= {x: x is an even natural number}
(v) {1, 4, 9 … 100}
Answer: E= {x: x = n2, n ∈ N and 1 ≤ n ≤ 10}
NCERT solution of Set Question 5:
List all the elements of the following sets:
(i) A = {x: x is an odd natural number}
Answer: A= {1,3,5,7,9,11.....}
(ii) B = {x: x is an integer -1/2 <X< 9/2 }
Answer: B ={0,1,2,3,4}
(iii) C = {x: x is aninteger x²≤ 4 }
Answer: C= {-1,-2,1,2}
(iv) D = {x: x is a letter in the word “LOYAL”}
Answer: D= {L, O, Y, A}
(v) E = {x: x is a month of a year not having 31 days}
Answer: E: = {April, June, September, November}
(vi) F = {x: x is a consonant in the English alphabet which proceeds k}.
Answer: F= {l,m,n,p,q,r,s,t,v,x,y,z}
Question 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:
Answer: (i) match to (c)
(ii) match to (a)
(III) match to (d)
(IV)arch to. (b)
For more Set: NCERT Solution for class 11 Math
Chapter 1 (Set)
Exercise: 1.1
Question 1:
Which of the following are sets? Justify your answer.
(i) The collection of all 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.
Answer 1:
(i) The collection of all months of a year beginning with the letter J is a set because it is well defined.
(ii) The collection of ten most talented writers of India is not a set because it is not well defined.
(iii) A team of eleven best cricket batsmen of the world iscoll a set because it is not well defined.
(iv) The collection of all boys in your class is a set because it is well defined.
(v) The collection of all natural numbers less than 100 is a set because it is well defined.
(vi) A collection of novels written by the writer Munshi Prem Chand is a set because it is well defined.
(vii) The collection of all even integers is a set because it is well defined.
(viii) The collection of questions in this chapter is a set because it is well defined.
(ix) The collection of most dangerous animals of the world is not a set because it is not well defined.
Question 2:
Let A = {1, 2, 3, 4, 5, 6}. Insert the appropriate symbol ∈or ∉ in the blank spaces:
(i) 5…A (ii) 8…A (iii) 0…A (iv) 4…A (v) 2…A (vi) 10…A
Answer 2:
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(i) 5 ∈ A
(ii) 8 ∉ A
(iii) 0 ∉ A
(iv) 4 ∈ A
(v) 2 ∈ A
(vi) 10 ∉ A
NCERT Class 11: Set: Question 3:
Write the following sets in roster form:
(i) A = {x: x is an integer and –3 < x < 7}.
Answer: A = {–2, –1, 0, 1, 2, 3, 4, 5, 6}
(ii) B = {x: x is a natural number less than 6}.
Answer: B={1,2,3,4,5}
(iii) C = {x: x is a two-digit natural number such that the sum of its digits is 8}
Answer: C={17,26,35,44,53,62,71,80}
(iv) D = {x: x is a prime number which is divisor of 60}.
Answer: D= {2,3,5,}
(v) E = The set of all letters in the word TRIGONOMETRY.
Answer: E= {T,R,I,G,O,N,M,E,Y}
(vi) F = The set of all letters in the word BETTER.
Answer: F= {B,E,T,R}
Set Question 4:
Write the following sets in the set-builder form:
(i) (3, 6, 9, 12)
Answer: A= {x: x = 3n, n∈ N and 1 ≤ n ≤ 4}
(ii) {2, 4, 8, 16, 32}
Answer: B= {x: x = 2n, n∈ N and 1 ≤ n ≤ 5}
(iii) {5, 25, 125, 625}
Answer: C= {x: x = 5n, n ∈ N and 1 ≤ n ≤ 4}
(iv) {2, 4, 6 …} is
Answer: D= {x: x is an even natural number}
(v) {1, 4, 9 … 100}
Answer: E= {x: x = n2, n ∈ N and 1 ≤ n ≤ 10}
NCERT solution of Set Question 5:
List all the elements of the following sets:
(i) A = {x: x is an odd natural number}
Answer: A= {1,3,5,7,9,11.....}
(ii) B = {x: x is an integer -1/2 <X< 9/2 }
Answer: B ={0,1,2,3,4}
(iii) C = {x: x is aninteger x²≤ 4 }
Answer: C= {-1,-2,1,2}
(iv) D = {x: x is a letter in the word “LOYAL”}
Answer: D= {L, O, Y, A}
(v) E = {x: x is a month of a year not having 31 days}
Answer: E: = {April, June, September, November}
(vi) F = {x: x is a consonant in the English alphabet which proceeds k}.
Answer: F= {l,m,n,p,q,r,s,t,v,x,y,z}
Question 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:
Answer: (i) match to (c)
(ii) match to (a)
(III) match to (d)
(IV)arch to. (b)
For more Set: NCERT Solution for class 11 Math
