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 - 5
Question 1:
The function f : R → R defined by f(x) = 2x + 2|x| is
(a) One-one and onto
(b) Many-one and onto
(c) One-one and into
(d) Many-one and into
Correct Answer – (C)
Question 2:
Let f : R –{3/5 R be defined by f (x) = 3x+2 /5x–3. Then
(a) f –1(x) = f(x)
(b) f –1(x) = – f(x)
(c) fo f(x) = – x
(d) f-1 (x) 1/19 f (x)
Correct Answer – (A)
Question 3:
Let f : R → R be defined by f(x) = sin x and g : R → R be defined by g(x) = x2, then fog is
(a) x2 sin x
(b) (sin x)2
(c) sin x2
(d) sinx/x2
Correct Answer – (C)
Question 4:
For real numbers x and y, define xRy if and only if x – y + 2 is an irrational number. Then the relation R is
(a) reflexive
(b) symmetric
(c) transitive
(d) none of these
Correct Answer – (A)
Question 5:
Let A and B be finite sets containing m and n elements respectively. The number of relations that can be defined from A to B is
(a) 2mn
(b) 2m+n
(c) mn
(d) 0
Correct Answer – (A)
MCQ Questions Class 12 Relations and Functions With Answers
Question 6:
Let A = {1, 2, 3}. Then number of equivalence relations containing (1, 2) is/are
(a) 1
(b) 2
(c) 3
(d) 4
Correct Answer – (B)
Question 7:
Let A = {1, 2, 3}. Then number of relations containing (1, 2) and (1, 3) which are reflexive and symmetric but not transitive is
(a) 1
(b) 2
(c) 3
(d) 4
Correct Answer – (D)
Question 8:
The maximum number of equivalence relation on the set A = {1, 2, 3} are
(a) 1
(b) 2
(c) 3
(d) 5
Correct Answer – (D)
Question 9:
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
Correct Answer – (A)
Question 10:
Let f: |2, ∞) → R be the function defined by f(x) – x² – 4x + 5, then the range of f is
(a) R
(b) [1, ∞)
(c) [4, ∞)
(d) [5, ∞)
Correct Answer – (B)
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