MCQs for CBSE Class 12 Maths Chapter 1 Relations and Functions With Solutions: Download PDF

The Central Board of Secondary Education is the topmost exam body in India and conducts the annual term-end board exams. The CBSE Class 12 board exams are taken by lakhs of students. One of the most important papers is Mathematics, and the very first chapter of class 12 is Relations and Functions. It’s a continuation of the chapter from class 11, but the topics are more challenging and advanced.

Relations and Functions is a major topic in CBSE Class 12 from the perspective of board exams and forms part of the objective and long-answer questions. The Multiple Choice Questions constitute a significant portion of the CBSE Class 12 Maths board exam. So, it’s necessary for students to learn the basics well and improve their answering speeds. On that note, we bring you the following MCQs for the CBSE Class 12 Maths Chapter 1 Relations and Functions.

MCQs for CBSE Class 12 Maths Chapter 1 Relations and Functions

1.Let A = {1, 2, 3} and consider the relation R = {1, 1), (2, 2), (3, 3), (1, 2), (2, 3), (1,3)}. Then R is

(a) reflexive but not symmetric

(b) reflexive but not transitive

(c) symmetric and transitive

(d) neither symmetric, nor transitive

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

(a) Onto

(b) Not onto

(c) None one-one

(d) None of these

Related: NCERT Solutions for Class 12 Maths PDF: Updated for 2023-24

3. If f : R → R, g : R → R and h : R → R is such that f(x) = x2, g(x) = tanx and h(x) = logx, then the value of [ho(gof)](x), if x = π√2 will be

a) 0

(b) 1

(c) -1

(d) 10

4.How many distinct relations can be defined on the set A = {1,2,3}?

(a) 29

(b) 23

(c) 9

(d) 26

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

(a) 12

(b) 28

(c) 61

(d) None of these

Related: CBSE Class 12 Maths Syllabus 2023-24: 12th Maths Syllabus Download PDF

6.Let E = {1,2,3,4} and F = {1,2} Then, the number of onto functions from E to F is

(a) 14

(b) 16

(c) 12

(d) 8

7. If A, Band C are three sets such that A∩B = A∩C and A∪B=A∪C. Then

(a) A = B

(b) A = C

(c) B = C

(d) A∩B=C

8.If f: R → R be given by f(x) = (3 – x3)1/3, then fof(x) is

(a) x1/3

(b) x3

(c) x

(d) (3 – x3)

Related: CBSE Class 12 Maths Sample Paper 2023-24 with Solutions PDF - Download Model Paper

9.Let f , g : R → R be defined by f(x) = 3x + 1 and g(x) = x2 – 2, ∀ x ∈ R, respectively. Then, f o g is

(a) 9x2 + 6x – 1

(b) 3x2 – 5

(c) 9x2 – 6x – 3

(d) 3x2

10Number of binary operations on the set {a, b} are

(a) 10

(b) 16

(c) 20

(d ) 8

11. Consider the non-empty set consisting of children in a family and a relation R defined as a R b if a is sister of b. Then R is:
a) symmetric but not transitive
b) transitive but not symmetric
c) neither symmetric nor transitive
d) both symmetric and transitive
Assertion –Reasoning:
12. Assertion(A): The smallest integer function f(x) is one-one.
Reason(R): A function is one-one if f(x) = f(y) ⇒ x = y.
a) Both A and R are true and R is the correct explanation of A
b) Both A and R are true and R is not the correct explanation of A
c) A is true but R is false
d) A is false but R is true.
13. The number of possible symmetric relations on a set consisting of 4 elements is:
(A) 512
(B)1024
(C)256
(D)32
14. A function f: R→ A defined as f(x)=x2 + 1 is onto, if A is:
(A) (−∞, ∞)
(B) (1, ∞)
(C) [1,∞)
(D)[-1,∞)
15. Let L denote the set of all straight lines in a plane. Let a relation R be defined by lRm if and only if l is perpendicular to m ⩝ l, m ∊ L. Then R is:
(A) reflexive
(B) symmetric
(C) transitive
(D) Equivalence relation

Answers

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