CBSE Class 12 Relations and Functions Multiple Choice Questions with Answers. MCQ Questions Class 12 Relations and Functions with Answers Is Prepared Based on Latest Exam Pattern. Students can solve NCERT MCQ questions Class 12 Relations and Functions with Answers to know their preparation level.
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MCQ Questions Class 12 Relations and Functions with Answers - Set - 3
Question 1:
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
Correct Answer – (B)
Question 2:
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
Correct Answer – (B)
Question 3:
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)
Correct Answer – (B)
Question 4:
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
Correct Answer – (C)
Question 5:
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
Correct Answer – (B)
MCQ Questions Class 12 Relations and Functions With Answers
Question 6:
The maximum number of equivalence relations on the set A = {1, 2, 3} are
(a) 1
(b) 2
(c) 3
(d) 5
Correct Answer – (D)
Question 7:
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
Correct Answer – (C)
Question 8:
If f: R → R such that f(x) = 3x – 4 then which of the following is f-1(x)?
(a) ⅓ (x + 4)
(a) ⅓ (x – 4)
(c) 3x – 4
(d) undefined
Correct Answer – (A)
Question 9:
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
Correct Answer – (A)
Question 10:
What type of relation is ‘less than’ in the set of real numbers?
(a) only symmetric
(b) only transitive
(c) only reflexive
(d) equivalence
Correct Answer – (A)
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