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.
Also Read: CBSE Relations and Functions Class 12 Mind Map for Chapter 1 of Maths
MCQs for CBSE Class 12 Maths Chapter 1 Relations and Functions
Question 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
Answer: (a) reflexive but not symmetric
Question 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
Answer: (a) Onto
Related: NCERT Solutions for Class 12 Maths PDF: Updated for 2023-24
Question 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
Answer: (a) 0
Question 4:
How many distinct relations can be defined on the set A = {1,2,3}?
(a) 29
(b) 23
(c) 9
(d) 26
Answer: (a) 29
Question 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
Answer: 61
Related: CBSE Class 12 Maths Syllabus 2023-24: 12th Maths Syllabus Download PDF
Question 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
Answer: (a) 14
Question 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
Answer: (c) B=C
Question 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)
Correct option: (c) x
Related: CBSE Class 12 Maths Sample Paper 2023-24 with Solutions PDF – Download Model Paper
Question 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) 9×2 + 6x – 1
(b) 3×2 – 5
(c) 9×2 – 6x – 3
(d) 3×2
Correct option: (b) 3×2 – 5
Question 10:
Number of binary operations on the set {a, b} are
(a) 10
(b) 16
(c) 20
(d ) 8
Correct option: (b) 16
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