# Relations and Functions MCQ Questions for Class 12 Maths Chapter 1 with Answers

Find here the NCERT chapter-wise Multiple Choice Questions from Class 12 Mathematics book Chapter 1 Relations and Functions with Answers Pdf free download. This may assist you to understand and check your knowledge about the chapters. Students also can take a free test of the Multiple Choice Questions of Relations and Functions. Each question has four options followed by the right answer. These MCQ Questions are selected supported by the newest exam pattern as announced by CBSE.

## Q1. The function f : R → R defined by f(x) = 3 – 4x is

(i) Onto
(ii) Not onto
(iii) None one-one
(iv) None of these

(i) Onto

## Q2. Given set A = {a, b, c). An identity relation in set A is

(i) R = {(a, b), (a, c)}
(ii) R = {(a, a), (b, b), (c, c)}
(iii) R = {(a, a), (b, b), (c, c), (a, c)}
(iv) R= {(c, a), (b, a), (a, a)}

(ii) R = {(a, a), (b, b), (c, c)}

## Q3. If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is

(i) 12
(ii) 28
(iii) 61
(iv) None of these

(iii) 61

## Q4. Let f : R → R be defined as f(x) = 3x. Then

(i) f is one-one onto
(ii) f is many-one onto
(iii) f is one-one but not onto
(iv) f is neither one-one nor onto.

(i) f is one-one onto

## Q5. The smallest integer function f(x) = [x] is

(i) One-one
(ii) Many-one
(iii) Both (i) & (ii)
(iv) None of these

(ii) Many-one

## Q6. Given set A ={1, 2, 3} and a relation R = {(1, 2), (2, 1)}, the relation R will be

(i) reflexive if (1, 1) is added
(ii) symmetric if (2, 3) is added
(iii) transitive if (1, 1) is added
(iv) symmetric if (3, 2) is added

(iii) transitive if (1, 1) is added

## Q7. What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}

(i) Reflexive
(ii) Transitive
(iii) Symmetric
(iv) None of these

(iv) None of these

(i) 1
(ii) 2
(iii) 3
(iv) 4.

(ii) 2

(i) one-one
(ii) Many-one
(iii) Odd
(iv) Even

(i) one-one

## Q10. Let R be a relation on the set L of lines defined by l1 R l2 if l1 is perpendicular to l2, then relation R is

(i) reflexive and symmetric
(ii) symmetric and transitive
(iii) equivalence relation
(iv) symmetric

(iv) symmetric

## Q11. Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals

(i) 31
(ii) 40
(iii) 43
(iv) None of these

(i) 31

(i) 1
(ii) 2
(iii) 3
(iv) 4.

(i) 1

(i) ±1
(ii) ±2
(iii) ±3
(iv) ±4

(ii) ±2

## Q14. A relation S in the set of real numbers is defined as xSy ⇒ x – y+ √3 is an irrational number, then relation S is

(i) reflexive
(ii) reflexive and symmetric
(iii) transitive
(iv) symmetric and transitive

(i) reflexive

## Q15. Let R be a relation on the set N of natural numbers defined by nRm if n divides m. Then R is

(i) Reflexive and symmetric
(ii) Transitive and symmetric
(iii) Equivalence
(iv) Reflexive, transitive but not symmetric.

(ii) Transitive and symmetric

(i) 0
(ii) 1
(iii) -1
(iv) π

(i) 0

(i) 144
(ii) 12
(iii) 24
(iv) 64

(iii) 24

(i) x² sin x
(ii) (sin x)²
(iii) sin x²
(iv) sin/x2

(iii) sin x²

(i) 8
(ii) 4
(iii) 16
(iv) 64

(iii) 16

(i) A = B
(ii) A = C
(iii) B = C
(iv) A ∩ B = d

(iii) B = C

## Q21. Let f: R → R be defined by f(x) = x² + 1. Then pre-images of 17 and – 3 respectively, are

(i) ø, {4,-4}
(ii) {3, -3}, ø
(iii) {4, -4}, ø
(iv) {4, -4}, {2,-2}.

(iii) {4, -4}, \$

## Q22. Let * be a binary operation on set Q – {1} defind by a * b = a + b – ab : a, b ∈ Q – {1}. Then * is

(i) Commutative
(ii) Associative
(iii) Both (i) and (ii)
(iv) None of these

(iii) Both (i) and (ii)

(i) 8
(ii) 10
(iii) 16
(iv) 20

(iii) 16

(i) 1
(ii) 2
(iii) 3
(iv) 5

(iv) 5

## Q25. Let the function ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is

(i) onto function
(ii) one-one, onto function
(iii) one-one, into function
(iv) many-one into function

(iv) many-one into function

## Q26. Let R be the relation “is congruent to” on the set of all triangles in a plane is

(i) reflexive
(ii) symmetric
(iii) symmetric and reflexive
(iv) equivalence

(iv) equivalence

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