Class 12 Mathematics - Chapter 1: Relations and Functions MCQ Questions

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Your Class 12 Mathematics Study Path

Question 1

The domain of the function f (x) = (frac { 1 }{sqrt{|x|-x}}) is

A (-âˆž, âˆž) – {0}.

B (-âˆž, 0)

C (0, âˆž)

D (-âˆž, âˆž)

Question 2

end{array}right.)

A None of these.

B 5

C 14

D 9

Question 3

Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B is:

A 64

B 24

C 12

D 144

Question 4

Then:

A R is an equivalence relation.

B R is symmetric and transitive but not reflexive

C R is reflexive and transitive but not symmetric

D R is reflexive and symmetric but not transitive

Question 5

Let R be the relation in the set N given by : R = {(a, b): a = b – 2, b > 6}. Then:

A (8, 7) âˆˆ R.

B (6, 8) âˆˆ R

C (3, 8) âˆˆ R

D (2, 4) âˆˆ R

Question 6

Let f: R â†’ R be defined by f(x) = sin x and g : R â†’ R be defined by g(x) = xÂ², then fog is

A (frac { sin x }{x^2})

B sin xÂ²

C (sin x)Â²

D xÂ² sin x

Question 7

Let f: R – {-(frac { 4 }{3})} â†’ R be a function defined as: f(x) = (frac { 4x }{3x+4}), x â‰ –(frac { 4 }{3}). The inverse of f is map g : Range f â†’ R -{-(frac { 4 }{3})} given by

A g(y) = (frac { 3y }{4-3y})

B g(y) = (frac { 4y }{3-4y})

C g(y) = (frac { 4y }{4-3y})

D g(y) = (frac { 3y }{3-4y})

Question 8

Let A = (1, 2, 3). Then the number of equivalence relations containing (1, 2) is

A 4.

B 3

C 2

D 1

Question 9

Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is

A Reflexive, transitive but not symmetric.

B Equivalence

C Transitive and symmetric

D Reflexive and symmetric

Question 10

where [x] denotes the greatest integer (â‰¤ x) has no integral solution, then all possible values of a lie in the interval:

A (-1, 0) âˆª (0, 1).

B (-âˆž, -2) âˆª(2, âˆž)

C (-2, -1)

D (1, 2)

Question 11

Let f: R â†’ R be defined as f(x) = x⁴. Then

A f is neither one-one nor onto.

B f is one-one but not onto

C f is many-one onto

D f is one-one onto

Question 12

If f: R â†’ R be given by f(x) = (3 – xÂ³)^1/3, then fof (x) is

A 3 – xÂ³.

B x

C xÂ³

D x^1/3

Question 13

Let f : R â†’ R be defined as f(x) = 3x. Then

A f is neither one-one nor onto.

B f is one-one but not onto

C f is many-one onto

D f is one-one onto

Question 14

Let f: R â†’ R be defined by f(x) = xÂ² + 1. Then pre-images of 17 and – 3 respectively, are

A {4, -4}, {2,-2}.

B {4, -4}, Ã¸

C {3, -3}, Ã¸

D Ã¸, {4,-4}

Question 15

Let A = {1, 2, 3}. Then number of relations containing {1, 2} and {1, 3}, which are reflexive and symmetric but not transitive is:

A 4.

B 3

C 2

D 1

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Class 12 Mathematics - Chapter 1: Relations and Functions MCQ Questions

Your Class 12 Mathematics Study Path

The domain of the function f (x) = (frac { 1 }{sqrt{|x|-x}}) is

end{array}right.)

Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B is:

Then:

Let R be the relation in the set N given by : R = {(a, b): a = b – 2, b > 6}. Then:

Let f: R â†’ R be defined by f(x) = sin x and g : R â†’ R be defined by g(x) = xÂ², then fog is

Let f: R – {-(frac { 4 }{3})} â†’ R be a function defined as: f(x) = (frac { 4x }{3x+4}), x â‰ –(frac { 4 }{3}). The inverse of f is map g : Range f â†’ R -{-(frac { 4 }{3})} given by

Let A = (1, 2, 3). Then the number of equivalence relations containing (1, 2) is

Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is

where [x] denotes the greatest integer (â‰¤ x) has no integral solution, then all possible values of a lie in the interval:

Let f: R â†’ R be defined as f(x) = x⁴. Then

If f: R â†’ R be given by f(x) = (3 – xÂ³)^1/3, then fof (x) is

Let f : R â†’ R be defined as f(x) = 3x. Then

Let f: R â†’ R be defined by f(x) = xÂ² + 1. Then pre-images of 17 and – 3 respectively, are

Let A = {1, 2, 3}. Then number of relations containing {1, 2} and {1, 3}, which are reflexive and symmetric but not transitive is:

Practice Complete!

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Class 12 Mathematics - Chapter 1: Relations and Functions MCQ Questions

Your Class 12 Mathematics Study Path

The domain of the function f (x) = (frac { 1 }{sqrt{|x|-x}}) is

end{array}right.)

Set A has 3 elements and the set B has 4 elements. Then the number of injective mappings that can be defined from A to B is:

Then:

Let R be the relation in the set N given by : R = {(a, b): a = b – 2, b > 6}. Then:

Let f: R â†’ R be defined by f(x) = sin x and g : R â†’ R be defined by g(x) = xÂ², then fog is

Let f: R – {-(frac { 4 }{3})} â†’ R be a function defined as: f(x) = (frac { 4x }{3x+4}), x â‰ –(frac { 4 }{3}). The inverse of f is map g : Range f â†’ R -{-(frac { 4 }{3})} given by

Let A = (1, 2, 3). Then the number of equivalence relations containing (1, 2) is

Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is

where [x] denotes the greatest integer (â‰¤ x) has no integral solution, then all possible values of a lie in the interval:

Let f: R â†’ R be defined as f(x) = x4. Then

If f: R â†’ R be given by f(x) = (3 – xÂ³)1/3, then fof (x) is

Let f : R â†’ R be defined as f(x) = 3x. Then

Let f: R â†’ R be defined by f(x) = xÂ² + 1. Then pre-images of 17 and – 3 respectively, are

Let A = {1, 2, 3}. Then number of relations containing {1, 2} and {1, 3}, which are reflexive and symmetric but not transitive is:

Practice Complete!

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Grade Calculator

Marks Percentage Calculator

Percentage Calculator

Students Also Read

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Quick Links

Popular Study Links

What Students Are Viewing

Let f: R â†’ R be defined as f(x) = x⁴. Then

If f: R â†’ R be given by f(x) = (3 – xÂ³)^1/3, then fof (x) is