Advertisement Remove all ads

NCERT solutions for Mathematics Exemplar Class 11 chapter 1 - Sets [Latest edition]

Chapters

Mathematics Exemplar Class 11 - Shaalaa.com
Advertisement Remove all ads
Advertisement Remove all ads
Advertisement Remove all ads

Chapter 1: Sets

Solved ExamplesExercise
Advertisement Remove all ads
Solved Examples [Pages 4 - 12]

NCERT solutions for Mathematics Exemplar Class 11 Chapter 1 SetsSolved Examples [Pages 4 - 12]

Short Answer

Solved Examples | Q 1.(i) | Page 4

Write the following sets in the roaster form.
A = {x | x is a positive integer less than 10 and 2x – 1 is an odd number}

Solved Examples | Q 1.(ii) | Page 4

Write the following sets in the roaster form.
C = {x : x2 + 7x – 8 = 0, x ∈ R}

State whether the following is True or False:

Solved Examples | Q 2.(i) | Page 4

37 ∉ {x | x has exactly two positive factors}

  • False

  • True

Solved Examples | Q 2.(ii) | Page 4

28 ∈ {y | the sum of the all positive factors of y is 2y}

  • True

  • False

Solved Examples | Q 2.(iii) | Page 4

7,747 ∈ {t | t is a multiple of 37}

  • True

  • False

Solved Examples | Q 3.(i) | Page 4

If X and Y are subsets of the universal set U, then show that Y ⊂ X ∪ Y

Solved Examples | Q 3.(ii) | Page 4

If X and Y are subsets of the universal set U, then show that X ∩ Y ⊂ X

Solved Examples | Q 3.(iii) | Page 4

If X and Y are subsets of the universal set U, then show that X ⊂ Y ⇒ X ∩ Y = X

Solved Examples | Q 4.(i) | Page 5

Given that N = {1, 2, 3, ..., 100}, then write the subset A of N, whose element are odd numbers.

Solved Examples | Q 4.(ii) | Page 5

Given that N = {1, 2, 3, ..., 100}, then write the subset B of N, whose element are represented by x + 2, where x ∈ N.

Solved Examples | Q 5.(i) | Page 5

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n + 1

Solved Examples | Q 5.(ii) | Page 5

Given that E = {2, 4, 6, 8, 10}. If n represents any member of E, then, write the following sets containing all numbers represented by n2 

Solved Examples | Q 6.(i) | Page 5

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n ∈ X but 2n ∉ X

Solved Examples | Q 6.(ii) | Page 5

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n + 5 = 8

Solved Examples | Q 6.(iii) | Page 5

Let X = {1, 2, 3, 4, 5, 6}. If n represent any member of X, express the following as sets:
n is greater than 4

Solved Examples | Q 7.(i) | Page 6

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

All the students who study Mathematics study English, but some students who study English do not study Mathematics.

Solved Examples | Q 7.(ii) | Page 6

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

There is no student who studies both Mathematics and English.

Solved Examples | Q 7.(iii) | Page 6

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Some of the students study Mathematics but do not study English, some study English but do not study Mathematics, and some study both.

Solved Examples | Q 7.(iv) | Page 6

Draw the Venn diagrams to illustrate the following relationship among sets E, M and U, where E is the set of students studying English in a school, M is the set of students studying Mathematics in the same school, U is the set of all students in that school.

Not all students study Mathematics, but every students studying English studies Mathematics.

Solved Examples | Q 8 | Page 7

For all sets A, B and C is (A ∩ B) ∪ C = A ∩ (B ∪ C)? Justify your statement.

Solved Examples | Q 9 | Page 7

Use the properties of sets to prove that for all the sets A and B

Long Answer

Solved Examples | Q 10 | Page 8

For all sets A, B and C is (A – B) ∩ (C – B) = (A ∩ C) – B? Justify your answer.

Solved Examples | Q 11 | Page 9

Let A, B and C be sets. Then show that A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

Solved Examples | Q 12 | Page 9

Let P be the set of prime numbers and let S = {t | 2t – 1 is a prime}. Prove that S ⊂ P.

Solved Examples | Q 13 | Page 10

From 50 students taking examinations in Mathematics, Physics and Chemistry, each of the student has passed in at least one of the subject, 37 passed Mathematics, 24 Physics and 43 Chemistry. At most 19 passed Mathematics and Physics, at most 29 Mathematics and Chemistry and at most 20 Physics and Chemistry. What is the largest possible number that could have passed all three examination?

Objective Type Questions from 14 to 16

Solved Examples | Q 14 | Page 11

Each set Xr contains 5 elements and each set Yr contains 2 elements and \[\bigcup\limits_{r=1}^{20} X_{r} = S = \bigcup\limits_{r=1}^{n} Y_{r}\] If each element of S belong to exactly 10 of the Xr’s and to exactly 4 of the Yr’s, then n is ______.

  • 10

  • 20

  • 100

  • 50

Solved Examples | Q 15 | Page 11

Two finite sets have m and n elements respectively. The total number of subsets of first set is 56 more than the total number of subsets of the second set. The values of m and n respectively are ______.

  • 7, 6

  • 5, 1

  • 6, 3

  • 8, 7

Solved Examples | Q 16 | Page 11

The set (A ∪ B ∪ C) ∩ (A ∩ B′ ∩ C′)′ ∩ C′ is equal to ______.

  • B ∩ C′

  • A ∩ C

  • B ∪ C′

  • A ∩ C′

Fill in the blanks 17 and 18:

Solved Examples | Q 17 | Page 12

If A and B are two finite sets, then n(A) + n(B) is equal to ______.

Solved Examples | Q 18 | Page 12

If A is a finite set containing n element, then number of subsets of A is ______.

State whether the following is True or False: 19 and 20

Solved Examples | Q 19 | Page 12

Let R and S be the sets defined as follows:
R = {x ∈ Z | x is divisible by 2}
S = {y ∈ Z | y is divisible by 3}
then R ∩ S = φ

  • True

  • False

Solved Examples | Q 20 | Page 12

Q ∩ R = Q, where Q is the set of rational numbers and R is the set of real numbers.

  • True

  • False

Exercise [Pages 12 - 18]

NCERT solutions for Mathematics Exemplar Class 11 Chapter 1 SetsExercise [Pages 12 - 18]

Short Answer

Exercise | Q 1.(i) | Page 12

Write the following sets in the roaster from:
A = {x : x ∈ R, 2x + 11 = 15}

Exercise | Q 1.(ii) | Page 12

Write the following sets in the roaster from:
B = {x | x2 = x, x ∈ R}

Exercise | Q 1.(iii) | Page 12

Write the following sets in the roaster from:
C = {x | x is a positive factor of a prime number p}

Exercise | Q 2.(i) | Page 13

Write the following sets in the roaster form:
D = {t | t3 = t, t ∈ R}

Exercise | Q 2.(ii) | Page 13

Write the following sets in the roaster form:
E = `{w | (w - 2)/(w + 3) = 3, w ∈ R}`

Exercise | Q 2.(iii) | Page 13

Write the following sets in the roaster form:

F = {x | x 4 – 5x2 + 6 = 0, x ∈ R}

Exercise | Q 3 | Page 13

If Y = {x | x is a positive factor of the number 2p – 1 (2p – 1), where 2p – 1 is a prime number}.Write Y in the roaster form.

State whether the following is True or False:

Exercise | Q 4.(i) | Page 13

35 ∈ {x | x has exactly four positive factors}.

  • True

  • False

Exercise | Q 4.(ii) | Page 13

128 ∈ {y | the sum of all the positive factors of y is 2y}

  • True

  • False

Exercise | Q 4.(iii) | Page 13

3 ∉ {x | x4 – 5x3 + 2x2 – 112x + 6 = 0}

  • True

  • False

Exercise | Q 4.(iv) | Page 13

496 ∉ {y | the sum of all the positive factors of y is 2y}.

  • True

  • False

Exercise | Q 5 | Page 13

Given L = {1, 2, 3, 4}, M = {3, 4, 5, 6} and N = {1, 3, 5}. Verify that L – (M ∪ N) = (L – M) ∩ (L – N)

Exercise | Q 6.(i) | Page 13

If A and B are subsets of the universal set U, then show that A ⊂ A ∪ B

Exercise | Q 6.(ii) | Page 13

If A and B are subsets of the universal set U, then show that A ⊂ B ⇔ A ∪ B = B

Exercise | Q 6.(iii) | Page 13

If A and B are subsets of the universal set U, then show that (A ∩ B) ⊂ A

Exercise | Q 7.(i) | Page 13

Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose elements are even numbers.

Exercise | Q 7.(ii) | Page 13

Given that N = {1, 2, 3, ... , 100}. Then write the subset of N whose element are perfect square numbers.

Exercise | Q 8.(i) | Page 13

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by 4n

Exercise | Q 8.(ii) | Page 13

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n + 6

Exercise | Q 8.(iii) | Page 13

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by `n/2`

Exercise | Q 8.(iv) | Page 13

If X = {1, 2, 3}, if n represents any member of X, write the following sets containing all numbers represented by n – 1

Exercise | Q 9.(i) | Page 13

If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a ∈ Y but a2 ∉ Y

Exercise | Q 9.(ii) | Page 13

If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a + 1 = 6, a ∈ Y

Exercise | Q 9.(iii) | Page 13

If Y = {1, 2, 3, ... 10}, and a represents any element of Y, write the following sets, containing all the elements satisfying the given conditions.

a is less than 6 and a ∈ Y

Exercise | Q 10 | Page 13

A, B and C are subsets of Universal Set U. If A = {2, 4, 6, 8, 12, 20} B = {3, 6, 9, 12, 15}, C = {5, 10, 15, 20} and U is the set of all whole numbers, draw a Venn diagram showing the relation of U, A, B and C.

Exercise | Q 11 | Page 14

Let U be the set of all boys and girls in a school, G be the set of all girls in the school, B be the set of all boys in the school, and S be the set of all students in the school who take swimming. Some, but not all, students in the school take swimming. Draw a Venn diagram showing one of the possible interrelationship among sets U, G, B and S.

Exercise | Q 12 | Page 14

For all sets A, B and C, show that (A – B) ∩ (C – B) = A – (B ∪ C)

State whether the following statement is True or False: 13 – 17 Justify your answer.

Exercise | Q 13 | Page 14

For all sets A and B, (A – B) ∪ (A ∩ B) = A

  • True

  • False

Exercise | Q 14 | Page 14

For all sets A, B and C, A – (B – C) = (A – B) – C

  • True

  • False

Exercise | Q 15 | Page 14

For all sets A, B and C, if A ⊂ B, then A ∩ C ⊂ B ∩ C

  • True

  • False

Exercise | Q 16 | Page 14

For all sets A, B and C, if A ⊂ B, then A ∪ C ⊂ B ∪ C

  • True

  • False

Exercise | Q 17 | Page 14

For all sets A, B and C, if A ⊂ C and B ⊂ C, then A ∪ B ⊂ C

  • True

  • False

Using properties of sets prove the statements given in 18 to 22

Exercise | Q 18 | Page 14

For all sets A and B, A ∪ (B – A) = A ∪ B

Exercise | Q 19 | Page 14

For all sets A and B, A – (A – B) = A ∩ B

Exercise | Q 20 | Page 14

For all sets A and B, A – (A ∩ B) = A – B

Exercise | Q 21 | Page 14

For all sets A and B, (A ∪ B) – B = A – B

Exercise | Q 22 | Page 14

Let T = `{x | (x + 5)/(x - 7) - 5 = (4x - 40)/(13 - x)}`. Is T an empty set? Justify your answer.

Long Answer

Exercise | Q 23 | Page 14

Let A, B and C be sets. Then show that A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

Exercise | Q 24.(i) | Page 14

Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in English and Mathematics but not in Science.

Exercise | Q 24.(ii) | Page 14

Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in Mathematics and Science but not in English

Exercise | Q 24.(iii) | Page 14

Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in Mathematics only

Exercise | Q 24.(iv) | Page 14

Out of 100 students; 15 passed in English, 12 passed in Mathematics, 8 in Science, 6 in English and Mathematics, 7 in Mathematics and Science; 4 in English and Science; 4 in all the three. Find how many passed in more than one subject only

Exercise | Q 25 | Page 14

In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Find the number of students who play neither?

Exercise | Q 26 | Page 15

In a survey of 200 students of a school, it was found that 120 study Mathematics, 90 study Physics and 70 study Chemistry, 40 study Mathematics and Physics, 30 study Physics and Chemistry, 50 study Chemistry and Mathematics and 20 none of these subjects. Find the number of students who study all the three subjects.

Exercise | Q 27.(i) | Page 15

In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B, 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers. Find the number of families which buy newspaper A only.

Exercise | Q 27.(ii) | Page 15

In a town of 10,000 families it was found that 40% families buy newspaper A, 20% families buy newspaper B, 10% families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers. Find the number of families which buy none of A, B and C

Exercise | Q 28.(i) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study French only

Exercise | Q 28.(ii) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study English only

Exercise | Q 28.(iii) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study Sanskrit only

Exercise | Q 28.(iv) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study English and Sanskrit but not French

Exercise | Q 28.(v) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study French and Sanskrit but not English

Exercise | Q 28.(vi) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study French and English but not Sanskrit

Exercise | Q 28.(vii) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study at least one of the three languages

Exercise | Q 28.(viii) | Page 15

In a group of 50 students, the number of students studying French, English, Sanskrit were found to be as follows:
French = 17, English = 13, Sanskrit = 15 French and English = 09, English and Sanskrit = 4 French and Sanskrit = 5, English, French and Sanskrit = 3. Find the number of students who study none of the three languages

Objective Type Questions from 29 to 43

Exercise | Q 29 | Page 15

Suppose A1, A2, ..., A30 are thirty sets each having 5 elements and B1, B2, ..., Bn are n sets each with 3 elements, let \[\bigcup\limits_{i=1}^{30} A_{i} = \bigcup\limits_{j=1}^{n} B_{j}\] = and each element of S belongs to exactly 10 of the Ai’s and exactly 9 of the B,’S. then n is equal to ______.

  • 15

  • 3

  • 45

  • 35

Exercise | Q 30 | Page 15

Two finite sets have m and n elements. The number of subsets of the first set is 112 more than that of the second set. The values of m and n are, respectively ______.

  • 4, 7

  • 7, 4

  • 4, 4

  • 7, 7

Exercise | Q 31 | Page 16

The set (A ∩ B′)′ ∪ (B ∩ C) is equal to ______.

  • A′ ∪ B ∪ C

  • A′ ∪ B

  • A′ ∪ C′

  • A′ ∩ B

Exercise | Q 32 | Page 16

Let F1 be the set of parallelograms, F2 the set of rectangles, F3 the set of rhombuses, F4 the set of squares and F5 the set of trapeziums in a plane. Then F1 may be equal to ______.

  • F2 ∩ F3

  • F3 ∩ F

  • F2 ∪ F5

  • F2 ∪ F3 ∪ F4 ∪ F1 

Exercise | Q 33 | Page 16

Let S = set of points inside the square, T = the set of points inside the triangle and C = the set of points inside the circle. If the triangle and circle intersect each other and are contained in a square. Then ______.

  • S ∩ T ∩ C = Φ

  • S ∪ T ∪ C = C

  • S ∪ T ∪ C = S

  • S ∪ T = S ∩ C

Exercise | Q 34 | Page 16

Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and y-axis. Then ______.

  • R = {(x, y) : 0 ≤ x ≤ a, 0 ≤ y ≤ b}

  • R = {(x, y) : 0 ≤ x < a, 0 ≤ y ≤ b}

  • R = {(x, y) : 0 ≤ x ≤ a, 0 < y < b}

  • R = {(x, y) : 0 < x < a, 0 < y < b}

Exercise | Q 35 | Page 16

In a class of 60 students, 25 students play cricket and 20 students play tennis, and 10 students play both the games. Then, the number of students who play neither is ______.

  • 0

  • 25

  • 35

  • 45

Exercise | Q 36 | Page 16

In a town of 840 persons, 450 persons read Hindi, 300 read English and 200 read both. Then the number of persons who read neither is ______.

  • 210

  • 290

  • 180

  • 260

Exercise | Q 37 | Page 16

If X = {8n – 7n – 1 | n ∈ N} and Y = {49n – 49 | n ∈ N}. Then ______.

  • X ⊂ Y

  • Y ⊂ X

  • X = Y

  • X ∩ Y = Φ

Exercise | Q 38 | Page 16

A survey shows that 63% of the people watch a News Channel whereas 76% watch another channel. If x% of the people watch both channel, then ______.

  • x = 35

  • x = 63

  • 39 ≤ x ≤ 63

  • x = 39

Exercise | Q 39 | Page 16

If sets A and B are defined as A = `{(x, y) | y = 1/x, 0 ≠ x ∈ "R"}` B = {(x, y) | y = – x, x ∈ R}, then ______.

  • A ∩ B = A

  • A ∩ B = B

  • A ∩ B = Φ

  • A ∪ B = A

Exercise | Q 40 | Page 17

If A and B are two sets, then A ∩ (A ∪ B) equals ______.

  • A

  • B

  • Φ

  • A ∩ B

Exercise | Q 41 | Page 17

If A = {1, 3, 5, 7, 9, 11, 13, 15, 17} B = {2, 4, ..., 18} and N the set of natural numbers is the universal set, then A′ ∪ (A ∪ B) ∩ B′) is ______.

  • Φ

  • N

  • A

  • B

Exercise | Q 42 | Page 17

Let S = {x | x is a positive multiple of 3 less than 100}
P = {x | x is a prime number less than 20}. Then n(S) + n(P) is ______.

  • 34

  • 41

  • 33

  • 30

Exercise | Q 43 | Page 17

If X and Y are two sets and X′ denotes the complement of X, then X ∩ (X ∪ Y)′ is equal to ______.

  • X

  • Y

  • Φ

  • X ∩ Y

Fill in the blanks 44 to 51:

Exercise | Q 44 | Page 17

The set {x ∈ R : 1 ≤ x < 2} can be written as ______.

Exercise | Q 45 | Page 17

When A = Φ, then number of elements in P(A) is ______.

Exercise | Q 46 | Page 17

If A and B are finite sets such that A ⊂ B, then n (A ∪ B) = ______.

Exercise | Q 47 | Page 17

If A and B are any two sets, then A – B is equal to ______.

Exercise | Q 48 | Page 17

Power set of the set A = {1, 2} is ______.

Exercise | Q 49 | Page 17

Given the sets A = {1, 3, 5}. B = {2, 4, 6} and C = {0, 2, 4, 6, 8}. Then the universal set of all the three sets A, B and C can be ______.

Exercise | Q 50.(i) | Page 17

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}. Then (B ∪ C)′ is ______.

Exercise | Q 50.(ii) | Page 17

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 5}, B = {2, 4, 6, 7} and C = {2, 3, 4, 8}. Then (C – A)′ is ______.

Exercise | Q 51 | Page 17

For all sets A and B, A – (A ∩ B) is equal to ______.

Match the following sets for all sets A, B and C

Exercise | Q 52 | Page 17
Column A Column B
(i) ((A′ ∪ B′) – A)′ (a) A – B
(ii) [B′ ∪ (B′ – A)]′ (b) A
(iii) (A – B) – (B – C) (c) B
(iv) (A – B) ∩ (C – B) (d) (A × B) ∩ (A × C)
(v) A × (B ∩ C) (e) (A × B) ∪ (A × C)
(vi) A × (B ∪ C) (f) (A ∩ C) – B

State whether the following is True or False: 53 to 58

Exercise | Q 53 | Page 18

If A is any set, then A ⊂ A.

  • True

  • False

Exercise | Q 54 | Page 18

Given that M = {1, 2, 3, 4, 5, 6, 7, 8, 9} and if B = {1, 2, 3, 4, 5, 6, 7, 8, 9}, then B ⊄ M.

  • True

  • False

Exercise | Q 55 | Page 18

The sets {1, 2, 3, 4} and {3, 4, 5, 6} are equal.

  • True

  • False

Exercise | Q 56 | Page 18

Q ∪ Z = Q, where Q is the set of rational numbers and Z is the set of integers.

  • True

  • False

Exercise | Q 57 | Page 18

Let sets R and T be defined as
R = {x ∈ Z | x is divisible by 2}
T = {x ∈ Z | x is divisible by 6}. Then T ⊂ R

  • True

  • False

Exercise | Q 58 | Page 18

Given A = {0, 1, 2}, B = {x ∈ R | 0 ≤ x ≤ 2}. Then A = B.

  • True

  • False

Chapter 1: Sets

Solved ExamplesExercise
Mathematics Exemplar Class 11 - Shaalaa.com

NCERT solutions for Mathematics Exemplar Class 11 chapter 1 - Sets

NCERT solutions for Mathematics Exemplar Class 11 chapter 1 (Sets) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Mathematics Exemplar Class 11 solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Mathematics Exemplar Class 11 chapter 1 Sets are Intersection of Sets, Difference of Sets, Proper and Improper Subset, Open and Close Intervals, Operation on Set - Disjoint Sets, Element Count Set, Universal Set, Venn Diagrams, Intrdouction of Operations on Sets, Union Set, Complement of a Set, Sets and Their Representations, The Empty Set, Finite and Infinite Sets, Equal Sets, Subsets, Power Set, Practical Problems on Union and Intersection of Two Sets.

Using NCERT Class 11 solutions Sets exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 11 prefer NCERT Textbook Solutions to score more in exam.

Get the free view of chapter 1 Sets Class 11 extra questions for Mathematics Exemplar Class 11 and can use Shaalaa.com to keep it handy for your exam preparation

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×