Refer to Class 11 Mathematics Relations and Functions MCQs provided below. CBSE Class 11 Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Class 11 Mathematics with answers have been prepared as per the latest syllabus, CBSE books and examination pattern suggested in Class 11 by CBSE, NCERT and KVS. Multiple Choice Questions for Chapter 2 Relations and Functions are an important part of exams for Class 11 Mathematics and if practiced properly can help you to get higher marks. Refer to more Chapter-wise MCQs for CBSE Class 11 Mathematics and also download more latest study material for all subjects

## MCQ for Class 11 Mathematics Chapter 2 Relations and Functions

Class 11 Mathematics students should refer to the following multiple-choice questions with answers for Chapter 2 Relations and Functions in Class 11. These MCQ questions with answers for Class 11 Mathematics will come in exams and help you to score good marks

### Chapter 2 Relations and Functions MCQ Questions Class 11 Mathematics with Answers

**Question. Domain of √a ^{2}-x^{2}(a > 0) is**

(a) (– a, a)

(b) [– a, a]

(c) [0, a]

(d) (– a, 0]

**Answer : B**

**Question. If A is the null set and B is an infinite set, then what is A×B ?**

(a) Infinite set

(b) f

(c) Undefined

(d) A singleton set

**Answer : C**

**Question. The domain and range of the real function f defied by f(x) = 4-x /x-4 is given by**

(a) Domain = R, Range = {–1, 1}

(b) Domain = R – {1}, Range = R

(c) Domain = R – {4}, Range = {–1}

(d) Domain = R – {– 4}, Range = {–1, 1}

**Answer : C****Question. If A = {1, 2, 3}, B = {1, 2} and C = {2, 3}, which one of the following is correct ?**

(a) (A´B)Ç(B´A) = (A´C)Ç(B´C)

(b) (A´B)Ç(B´A) = (C´A)Ç(C´B)

(c) (A´B)È(B´A) = (A´B)È(B´C)

(d) (A´B)È(B´A) = (A´B)È(A´C)

**Answer : C**

**Question. If f (x) = x ^{3}-1/x^{3} , then f (x) +f(1/x) is equal to**

(a) 2 x

^{3}

(b) 2. 1/x

^{3}

(c) 0

(d) 1

**Answer : C****Question. Consider the following statements :**

(i) If n (A) = p and n (B) = q then n (A × B) = pq

(ii) A × f = f

(iii) In general, A × B ¹ B × A

Which of the above statements are true ?

(a) only (i)

(b) only (ii)

(c) only (iii)

(d) All the above

**Answer : D****Question. If A × B = { (5, 5), (5, 6), (5, 7), (8, 6), (8, 7), (8, 5)},then the value A.**

(a) {5}

(b) {8}

(c) {5, 8}

(d) {5, 6, 7, 8}

**Answer : C****Question. Let y2 = 4ax, a ¹ 0 , Now consider the following statements:**

(1) y = 2 ax expresses y as a function of x

(2) y = – 2 ax expresses y as a function of x

(3) y = ± 2 ax expresses y as a function of x

Which of these is/are correct ?

(a) 1 and 2

(b) 1 and 3

(c) 2 and 3

(d) 3 only

**Answer : A****Question. Let n(A) = m, and n(B) = n. Then the total number of non-empty relations that can be defined from A to B is**

(a) mn

(b) nm – 1

(c) mn – 1

(d) 2mn – 1

**Answer : D****Question. If aN = {ax : x Î N} and bN Ç cN = dN, where b, c Î N are relatively prime, then**

(a) d = bc

(b) c = bd

(c) b = cd

(d) None

**Answer : A****Question. Let R = {(2, 3), (3, 4)} be relation defined on the set of natural numbers. The minimum number of ordered pairs required to be added in R so that enlarged relation becomes an equivalence relation is :**

(a) 3

(b) 5

(c) 7

(d) 9

**Answer : D**

**Question. If the domain of the function f(x) = x2 – 6x + 7 is (– ∞, ∞), then the range of function is:**

(a) [– 2, ∞)

(b) (– ∞, ∞)

(c) (– 2, + 1)

(d) (– ∞, – 2)

**Answer : A****Question. Which of the following relation is a function ?**

(a) {(a, b) (b, e) (c, e) (b, x)}

(b) {(a, d) (a, m) (b, e) (a, b)}

(c) {(a, d) (b, e) (c, d) (e, x)}

(d) {(a, d) (b, m) (b, y) (d, x)}

**Answer : C****Question. If A is the set of even natural numbers less than 8 and B is the set of prime numbers less than 7,then the number of relations from A to B is**

(a) 29

(b) 92

(c) 32

(d) 29 – 1

**Answer : A**

**Question. The relation R defined on the set of natural numbers as {(a, b) : a differs from b by 3}is given**

(a) {(1, 4), (2, 5), (3, 6),.....}

(b) {(4, 1), (5, 2), (6, 3),.....}

(c) {(1, 3), (2, 6), (3, 9),.....}

(d) none of these

**Answer : B****Question. The range of the function f(x) = ^{7- x} P _{x-3 }is**

(a) {1, 2, 3, 4, 5}

(b) {1, 2, 3, 4, 5,6}

(c) {1, 2, 3, 4,}

(d) {1, 2, 3,}

**Answer : D**

**Question. The range of the function **

f(x) = √(x -1)(3 - x) is :

(a) [– 1, 1]

(b) (– 1, 1)

(c) (– 3, 3)

(d) (– 3, 1)

**Answer : A**

**Question. If f (x) = 3x4 – 5x2 + 9, then value of f (x – 1) is**

(a) 3x4 + 12x^{3} + 13x^{2} + 2x + 7

(b) 3x4 – 12x^{3} – 13x^{2} – 2x – 7

(c) 3x4 – 12x^{3} + 13x^{2} – 2x + 7

(d) 3x4 – 12x^{3} – 13x^{2} + 2x + 7

**Answer : C**

**Question. If f(x) = (x – 1) (x – 3)(x – 4)(x – 6) + 19 for all real value of x is**

(a) positive

(b) negative

(c) zero

(d) none of these

**Answer : A****Question. If f : R ® R is defined by f(x) = 3x + | x | , then f(2x) – f (– x) – 6x =**

(a) f(x)

(b) 2f(x)

(c) – f(x)

(d) f(– x)

**Answer : A****Question. Let R be a relation in the set of real numbers defined as a R b iff | a – b | ≥ 1/2 . Then the relation R is:**

(a) an equivalence relation

(b) reflexive and symmetric but not transitive

(c) symmetric and transitive but not reflexive

(d) symmetric but neither reflexive nor transitive

**Answer : D**

**Question. If P, Q and R are subsets of a set A, then R × (PC È QC)C equals.**

(a) (R´ P)Ç(R´Q)

(b) (R´Q)Ç(R´ P)

(c) (R´ P)È(R´Q)

(d) None of these

**Answer : A**

**Question. If g(x) = 1 +√x and f [g (x)] = 3 + 2√x + x , then**

f(x) =

(a) 1 + 2x^{2}

(b) 2 + x^{2}

(c) 1 + x

(d) 2 + x

**Answer : B**

**Question. If f(x) = 2x + 2-x/2 , then f(x + y). f(x – y) =**

(a) 1/2 [f(2x) + f (2y)]

(b) 1/4[f (2x) f (2y)]

(c) 1/2[f (2x) f (2y)]

(d) 1/4[f (2x) f (2y)]

**Answer : A**

**Question. If g = {(1, 1), (2, 3), (3, 5), (4, 7)} is a function described by the formula, g (x) = a x + b then what values should be assigned to a and b ?**

(a) a = 1, b = 1

(b) a = 2, b = – 1

(c) a = 1, b = – 2

(d) a = – 2, b = – 1

**Answer : B**

**Question. The range of the function f (x) = ^{7–x}P_{x–3} is :**

(a) {1, 2, 3, 4}

(b) {1, 2, 3, 4, 5}

(c) {1, 2, 3}

(d) {1, 2, 3, 4, 5, 6}

**Answer : C**

**Question. Domain of the function**

f (x) =√( 2 - 2x - x^{2}) is :

(a) - √3 ≤ x ≤ + √3

(b) -1- √3 ≤ x ≤ -1+ √3

(c) -2 ≤ x ≤ 2

(d) -2 + √3 ≤ x ≤-2 -√3

**Answer : B**

**Question. f (x) = √(x 1) (x 3) /(x 2) = is a real valued function in the domain**

(a) (-∞, -1] ∪ [3,∞)

(b) (-∞, -1] ∪ (2,3]

(c) [-1, 2) ∪ [3, ∞)

(d) none of these

**Answer : C****Question. Total number of equivalence relations defined in the set S = {a, b, c } is :**

(a) 5

(b) 3!

(c) 23

(d) 33

**Answer : A**

**Question. For the following relation**

R = {(0, 0), (0, 1), (1, 1), (2, 1), (2, 2), (2, 0), (1, 0),

(0, 2), (0, 1)}

(a) domain = {0, 1}

(b) range = {0, 1, 2}

(c) both correct

(d) none of these

**Answer : B**

**Question. Which one of the following is the domain of the relation R defined on the set N of natural numbers as R = {(m, n): 2m + 3n = 30 m , nÎN}?**

(a) {2, 4, 6, 8}

(b) {3, 7, 11, 15}

(c) {3, 6, 9, 12}

(d) {3, 6, 9, 12, 15}

**Answer : C**

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