MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Set-B

Relations and Functions Class 12 Maths MCQs Questions with Answers

Check the below NCERT MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Pdf free download. MCQ Questions for Class 12 Maths with Answers were prepared based on the latest exam pattern. We have Provided Relations and Functions Class 12 Maths MCQs Questions with Answers to help students understand the concept very well.

Class 12 Maths Chapter 1 Quiz

Class 12 Maths Chapter 1 MCQ Online Test

You can refer to NCERT Solutions for Class 12 Maths Chapter 1 Relations and Functions to revise the concepts in the syllabus effectively and improve your chances of securing high marks in your board exams.

Relations and Functions Class 12 Maths MCQ online test

Q1.	What type of relation is ‘less than’ in the set of real numbers?
	A. only symmetric
	B. only transitive
	C. only reflexive
	D. equivalence

Ans: only transitive

Q2.	If A = [1, 2, 3}, B = {5, 6, 7} and f: A → B is a function such that f(x) = x + 4 then what type of function is f?
	A. into
	B. one-one onto
	C. many-onto
	D. constant function

Ans: one-one onto

Q3.	f: A → B will be an into function if
	A. range (f) ⊂ B
	B. f(a) = B
	C. B ⊂ f(a)
	D. f(b) ⊂ A

Ans: range (f) ⊂ B

Q4.	If f : R → R such that f(x) = 3x then what type of a function is f?
	A. one-one onto
	B. many one onto
	C. one-one into
	D. many-one into

Ans: one-one into

Q5.	If f: R → R such that f(x) = 3x – 4 then which of the following is f^-1(x)?
	A. \(\frac{1}{3}\) (x + 4)
	B. \(\frac{1}{3}\) (x – 4)
	C. 3x – 4
	D. undefined

Ans: \(\frac{1}{3}\) (x + 4)

Q6.	A = {1, 2, 3} which of the following function f: A → A does not have an inverse function
	A. {(1, 1), (2, 2), (3, 3)}
	B. {(1, 2), (2, 1), (3, 1)}
	C. {(1, 3), (3, 2), (2, 1)}
	D. {(1, 2), (2, 3), (3, 1)

Ans: {(1, 2), (2, 1), (3, 1)}

Q7.	Let T be the set of all triangles in the Euclidean plane, and let a relation R on T be defined as aRb if a congruent to b ∀ a, b ∈ T. Then R is
	A. reflexive but-not transitive
	B. transitive but not symmetric
	C. equivalence
	D. None of these

Ans: equivalence

Q8.	Consider the non-empty set consisting of children is a family and a relation R defined as aRb If a is brother 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

Ans: transitive but not symmetric

Q9.	The maximum number of equivalence relations on the set A = {1, 2, 3} are
	A. 1
	B. 2
	C. 3
	D. 5

Ans: 5

Q10.	If a relation R on the set {1, 2, 3} be defined by R = {(1, 2)}, then R is
	A. reflexive
	B. transitive
	C. symmetric
	D. None of these

Ans: transitive

Q11.	Let us define a relation R in R as aRb if a ≥ b. Then R is
	A. an equivalence relation
	B. reflexive, transitive but not symmetric
	C. neither transitive nor reflexive but symmetric
	D. symmetric, transitive but not reflexive

Ans: reflexive, transitive but not symmetric

Q12.	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

Ans: reflexive but not symmetric

Q13.	The identity element for the binary operation * defined on Q ~ {0} as a * b = \(\frac{ab}{2}\) ∀ a, b ∈ Q ~ {0} is
	A. 1
	B. 0
	C. 2
	D. None of these

Ans: 2

Q14.	If the set A contains 5 elements and the set B contains 6 elements, then the number of one-one and onto mappings from A to B is
	A. 720
	B. 120
	C. 0
	D. None of these

Ans: 0

Q15.	Let A = {1, 2,3,…. n} and B = { a, b}. Then the number of surjections from A into B is
	A. ⁿP₂
	B. 2ⁿ – 2
	C. 2ⁿ – 1
	D. None of these

Ans: 2ⁿ – 2

Q16.	Let f : R → R be defined by f (x) = \(\frac{1}{x}\) ∀ x ∈ R. Then f is
	A. one-one
	B. onto
	C. bijective
	D. f is not defined

Ans: f is not defined

Q17.	Which of the following functions from Z into Z are bijective?
	A. f(x) = x³
	B. f(x) = x + 2
	C. f(x) = 2x + 1
	D. f{x) = x² + 1

Ans: f(x) = x + 2

Q18.	Let f: R → R be the function defined by f(x) = x³ + 5. Then f^-1 (x) is
	A. (x + 5)^1/3
	B. (x -5)^1/3
	C. (5 – x)^1/3
	D. 5 – x

Ans: (x -5)^1/3

Q19.	Let f: A → B and g : B → C be the bijective functions. Then (g o f)^-1 is,
	A. f^-1 o g^-1
	B. f o g
	C.g^-1 o f^-1
	D. g o f

Ans: f^-1 o g^-1

Q20.	Let f: R – {\(\frac{3}{5}\)} → R be defined by f(x) = \(\frac{3x+2}{5x-3}\) then
	A. f^-1(x) = f(x)
	B. f^-1(x) = -f(x)
	C.(f o f)x = -x
	D. f^-1(x) = \(\frac{1}{19}\) f(x)

Ans: f^-1(x) = f(x)

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT SOLUTIONS FOR CLASS 12

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

MCQ Questions for Class 12 Maths Chapter 1 Relations and Functions with Answers Set-B

Relations and Functions Class 12 Maths MCQs Questions with Answers

Class 12 Maths Chapter 1 Quiz

Class 12 Maths Chapter 1 MCQ Online Test

Relations and Functions Class 12 Maths MCQ online test

MCQ Questions for Class 12 Maths

NCERT Solution of Maths Class 12

Class 12 Maths

NCERT Solution of Maths Class 12 Chapter 1

NCERT Solution of Maths Class 12 Chapter 2

NCERT Solution of Maths Class 12 Chapter 3

NCERT Solution of Maths Class 12 Chapter 4

NCERT Solution of Maths Class 12 Chapter 5

NCERT Solution of Maths Class 12 Chapter 6

NCERT Solution of Maths Class 12 Chapter 7

NCERT Solution of Maths Class 12 Chapter 8

NCERT Solution of Maths Class 12 Chapter 9

NCERT Solution of Maths Class 12 Chapter 10

NCERT Solution of Maths Class 12 Chapter 11

NCERT Solution of Maths Class 12 Chapter 12

NCERT Solution of Maths Class 12 Chapter 13

MCQ QUESTIONS WITH ANSWER

NCERT SOLUTIONS FOR CLASS 12

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