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

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.	If f(x₁) = f (x₂) ⇒ x₁ = x₂ ∀ x₁ x₂ ∈ A then the function f: A → B is
	A. one-one
	B. one-one onto
	C. onto
	D. many one

Ans: one-one

Q2.	What type of a relation is R = {(1, 3), (4, 2), (2, 4), (2, 3), (3, 1)} on the set A – {1, 2, 3, 4}
	A. Reflexive
	B. Transitive
	C. Symmetric
	D. None of these

Ans: None of these

Q3.	If F : R → R such that f(x) = 5x + 4 then which of the following is equal to f^-1(x).
	A. \(\frac{x-5}{4}\)
	B. \(\frac{x-y}{5}\)
	C. \(\frac{x-4}{5}\)
	D. \(\frac{x}{4}\) -5

Ans: \(\frac{x-4}{5}\)

Q4.	If an operation is defined by a* b = a² + b², then (1 * 2) * 6 is
	A. 12
	B. 28
	C. 61
	D. None of these

Ans: 61

Q5.	Consider the binary operation * on a defined by x * y = 1 + 12x + xy, ∀ x, y ∈ Q, then 2 * 3 equals
	A. 31
	B. 40
	C. 43
	D. None of these

Ans: 31

Q6.	The range of the function f(x) = \(\sqrt{(x-1)(3-x)}\) is
	A. [1, 3]
	B. [0, 1]
	C. [-2, 2]
	D. None of these

Ans: [1, 3]

Q7.	If f: R → R defined by f(x) = 2x + 3 then f^-1(x) =
	A. 2x – 3
	B. \(\frac{x-3}{2}\)
	C. \(\frac{x+3}{2}\)
	D. None of these

Ans: \(\frac{x-3}{2}\)

Q8.	The function f(x) = log (x² + \(\sqrt{x^2+1}\) ) is
	A. even function
	B. odd function
	C. Both
	D. None of these

Ans: even function

Q9.	Let E = {1, 2, 3, 4} and F = {1, 2} Then, the number of onto functions from E to F is
	A. 14
	B. 16
	C. 12
	D. 8

Ans: 14

Q10.	If A, B and C are three sets such that A ∩ B = A ∩ C and A ∪ B = A ∪ C. then
	A. A = B
	B. A = C
	C. B = C
	D. A ∩ B = d

Ans: B = C

Q11.	Let A = {1, 2}, how many binary operations can be defined on this set?
	A. 8
	B. 10
	C. 16
	D. 20

Ans: 16

Q12.	If A = (1, 2, 3}, B = {6, 7, 8} is a function such that f(x) = x + 5 then what type of a function is f?
	A. Many-one onto
	B. Constant function
	C. one-one onto
	D. into

Ans: one-one onto

Q13.	Let function R → R is defined as f(x) = 2x³ – 1, then ‘f’ is
	A. 2x³ + 1
	B. (2x)³ + 1
	C. (1 – 2x)³
	D. (\(\frac{1+x}{2}\))^1/3

Ans: (\(\frac{1+x}{2}\))^1/3

Q14.	Let the functioin ‘f’ be defined by f (x) = 5x² + 2 ∀ x ∈ R, then ‘f’ is
	A. onto function
	B. one-one, onto function
	C. one-one, into function
	D. many-one into function

Ans: many-one into function

Q15.	A relation R in human being defined as, R = {{a, b) : a, b ∈ human beings : a loves A} is-
	A. reflexive
	B. symmetric and transitive
	C. equivalence
	D. None of these

Ans: equivalence

Q16.	If f(x) + 2f (1 – x) = x² + 2 ∀ x ∈ R, then f(x) =
	A. x² – 2
	B. 1
	C. \(\frac{1}{3}\) (x – 2)²
	D. None of these

Ans: \(\frac{1}{3}\) (x – 2)²

Q17.	The period of sin² θ is
	A. π²
	B. π
	C. 2π
	D. \(\frac{π}{2}\)

Ans: π

Q18.	The domain of sin-1 (log (x/3)] is. .
	A. [1, 9]
	B. [-1, 9]
	C. [-9, 1]
	D. [-9, -1]

Ans: [1, 9]

Q19.	f(x) = \(\frac{log_2(x+3)}{x^2+3x+2}\) is the domain of
	A. R – {-1, -2}
	B. (- 2, ∞) .
	C. R- {- 1,-2, -3}
	D. (-3, + ∞) – {-1, -2}

Ans: (-3, + ∞) – {-1, -2}

Q20.	If the function f(x) = x³ + e^x/2 and g (x) = fⁿ(x), then the value of g'(1) is
	A. 1
	B. 2
	C. 3
	D. 4

Ans: 2

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-A

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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