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 - 4
Question 1:
Let f: [0, 1| → [0, 1| be defined by
(a) Constant
(b) 1 + x
(c) x
(d) None of these
Correct Answer – (C)
Question 2:
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
Correct Answer – (B)
Question 3:
Let f : R → R be defined by f (x) = 1/x ∀ x ∈ R. Then f is
(a) one-one
(b) onto
(c) bijective
(d) f is not defined
Correct Answer – (D)
Question 4:
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
Correct Answer – (C)
Question 5:
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)
MCQ Questions Class 12 Relations and Functions With Answers
Question 6:
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
Correct Answer – (A)
Question 7:
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
Correct Answer – (B)
Question 8:
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
Correct Answer – (B)
Question 9:
The identity element for the binary operation * defined on Q ~ {0} as
a * b = (ab)/2 , ∀ a, b ∈ Q ~ {0} is
(a) 1
(b) 0
(c) 2
(d) None of these
Correct Answer – (C)
Question 10:
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
Correct Answer – (B)
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