MCQs for CBSE Class 12 Maths Chapter 1: 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 with Solutions
Here you can find MCQs of CBSE class 12 Maths Chapter 1 Relations and Functions, along with solutions. Students can use these questions to practice for their upcomin Maths exams to get an understanding of how questions will be asked from Chapter 1 of the book.
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
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 Mathematics Syllabus 2025-26: 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 Sample Paper 2025-26: Download 12th Subject-wise Paper PDF and Marking Scheme
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
10. Number 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
| Question | Answer |
| 1 | (a) reflexive but not symmetric |
| 2 | (a) Onto |
| 3 | (a) 0 |
| 4 | (a) 29 |
| 5 | (c) 61 |
| 6 | (a) 14 |
| 7 | (c) B=C |
| 8 | (c) x |
| 9 | (b) 3x2 – 5 |
| 10 | (b) 16 |
| 11 | b) transitive but not symmetric |
| 12 | (D)32 |
| 13 | (B)1024 |
| 14 | (C) [1,∞) |
| 15 | (B) symmetric |
Chapter 1, Relations and Functions, is an essential topic for Maths board exams. Students can take note of the questions shared in this article to practice for the upcoming exams. Questions shared here are prepared by subject matter experts who have analysed Maths previous year papers and chapters to share the essential topics and question styles. It can help students understand the key concepts and CBSE question patterns for the Maths paper. Although these are only few questions, more questions will be added subsequently. Students can continue to check the article for more updated questions.
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