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10 months ago

Sets Class 11th

Class 11 Chapter 1 Set Ex 1.2 NCERT Solutions

Q1. 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}

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10 months ago

Sets Class 11th

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} &nbs

...more

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Payal Gupta

Contributor-Level 10

6. (i) (c)

(ii) (a)

(iii) (d)

(iv) (b)

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Sets Class 11th

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, $x^{2} \leq 4$ }

(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 }.

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Payal Gupta

Contributor-Level 10

5. (i) A = {1, 3, 5, 7, …}

(ii) B = {0,1,2,3,4} (as $\frac{9}{2}$ =4.5 and $- \frac{1}{2}$ = –0.5)

(iii) x² ≤ 4

x² ≤ 2²

x ≤ ± 2

So, C = {–2, –1,0,1,2}

(iv) D = {L, O, Y, A}

(v) E = {February, April, June, September, November}

(vi) F = {b, c, d, f, g, h, j}

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Sets Class 11th

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}

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Payal Gupta

Contributor-Level 10

4. (i) {3,6,9,12}= {3 * 1, 3 * 2, 3 * 3, 3 * 4}

= {x : x = 3n, n is natural number and 1≤ n ≤ 4}

(ii) {2,4,8,16,32}= {2¹, 2², 2³, 2⁴, 2⁵}

= {x : x = 2ⁿ, n is natural number and 1 ≤ n ≤ 5}

(iii) {5,25,125,625}= {5¹, 5², 5³, 5⁴}

= {x : x = 5ⁿ, n is natural number and 1 ≤ n ≤ 4}

(iv) {2,4,6, }= {2 * 1, 2 * 2, 2 * 3, …}

= {x : x = 2n, n is a natural number}

(v) {1,4,9, …, 100}= {1², 2², 3², …, 10²}

= {x : x = n2, x is a natural number and 1 ≤ n ≤ 10}

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10 months ago

Sets Class 11th

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

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Payal Gupta

Contributor-Level 10

(i) A = {– 3, –2, –1, 0, 1, 2, 3, 4, 5, 6}

(ii) B = {1, 2, 3, 4, 5}

(iii) C = {17, 26, 35, 44, 53, 62, 71, 80}

(iv) x = Prime number which are divisor of 60

Factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60

Hence, x = 2, 3, 5

?D = {2, 3, 5}

(v) E = {T, R, I, G, O, N, M, E, Y}

(vi) F = {B, E, T, R}

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10 months ago

Sets Class 11th

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

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Payal Gupta

Contributor-Level 10

2. (i) 5 $\in$ A

(ii) 8 $\notin$ A

(iii) 0 $\notin$ A

(iv) 4 $\in$ A

(v) 2 $\in$ A

(vi) 10 $\notin$ A

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10 months ago

Sets Class 11th

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 da

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Payal Gupta

Contributor-Level 10

1. (i) The collection of all months of a year with J as initial are January, June and July. Hence, it is a well-defined and is therefore a set ${J a n u a r y, J u n e, J u l y\}$ .

(ii) The collection of ten most talented writers of India is not well-defined as it may vary from one person to another. Hence, it is not a set.

(iii) The team of 11 best-cricket batsmen of the world is not well-defined as it may vary from one parson to another as they may vary from one person to another. Hence, it is not a set.

(iv) The collection of all boys in your class is well-defined as your-class is fixed. Hence, it is a set.

(v) The collection of all natural numbersless than

...more

1. (i) The collection of all months of a year with J as initial are January, June and July. Hence, it is a well-defined and is therefore a set ${J a n u a r y, J u n e, J u l y\}$ .

(ii) The collection of ten most talented writers of India is not well-defined as it may vary from one person to another. Hence, it is not a set.

(iii) The team of 11 best-cricket batsmen of the world is not well-defined as it may vary from one parson to another as they may vary from one person to another. Hence, it is not a set.

(iv) The collection of all boys in your class is well-defined as your-class is fixed. Hence, it is a set.

(v) The collection of all natural numbersless than 100 will be from 1 to 99. Hence, it is well-defined and is therefore a set.

(vi) Novels written by writer Munshi Prem cham is a well-defined collection as he is no more so. Hence it is a set.

(vii) The collection of all even integers is well-defined and hence is a set.

(viii) The collection of questions in this chapter is well-defined and hence is a set.

(ix) The collection of most dangerous animals of the world is not well-defined as it may vary from one person to another.

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10 months ago

Sets Class 11th

Class 11 Chapter 1 Set Exercise 1.1 NCERT Solutions

Q1. 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.

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11 months ago

Sets Class 11

What are venn diagrams in Class 11 Math sets?

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Piyush Vimal

Beginner-Level 5

Venn diagrams are simple visual representations of sets using circles or closed curves. Venn Diagrams help in understanding and solving problems involving union, intersection, and difference of sets. Venn diagrams make it easier to visualize relationships between sets and are especially useful in word problems and data classification.

When two circles/ closed curves overlap, the common area is called intersection. Whole area including the intersection is known as union of sets. if the two circle don't overlap, its called disjoint sets.

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11 months ago

Sets Class 11

How many exercises are there in Chapter 1 Sets in class 11 Mathematics?

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Pallavi Arora

Beginner-Level 5

NCERT Chapter 1 Sets in Class 11 Maths contains a total of 6 exercises along with 1 miscellaneous exercise at the end. These exercises are designed to cover all key concepts such as types of sets, representation methods, Venn diagrams, and operations on sets like union, intersection, and complement. students can check details below

Exercise 1.1 consists 9 questions related to basic understanding, and set builder forms.
Exercise 1.2 consists 6 questions about type of sets, empty set, power set, finite and infinite sets.
Exercise 1.3 consists 9 questions, related to operations on sets, and venn diagrams.
Exercise 1.4 consists 12 questions re

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Class 11 Chapter 1 Set Ex 1.2 NCERT Solutions

Class 11 Chapter 1 Set Exercise 1.1 NCERT Solutions

Class 11 Chapter 1 Set Exercise 1.1 NCERT Solutions

Class 11 Chapter 1 Set Exercise 1.1 NCERT Solutions

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