Relations and Functions-4

MCQ Questions Class 12 Relations and Functions With Answers

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.

Students who are searching for NCERT MCQ Questions Class 12 Relations and Functions with Answers are compiled here to get good practice on all fundamentals. Know your preparation level on MCQ Questions for Class 12 Relations and Functions with Answers. You can also verify your answers from the provided MCQ Class 12 Relations and Functions with Answers. So, ace up your preparation with MCQ of Class 12 Mathematics Examinations.

MCQ Questions Class 12 Relations and Functions with Answers - Set - 4

Question 1: 

Let f: [0, 1| → [0, 1| be defined by 

Relations and Functions-8

(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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