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

Relations and Functions Class 11 MCQ is one of the best strategies to prepare for the CBSE Class 11 Board exam. If you want to complete a grasp concept or work on one’s score, there is no method except constant practice. Students can improve their speed and accuracy by doing more Relations and Functions class 11 MCQ which will help them all through their board test.

## Relations and Functions Class 11 MCQ Questions with Answer

Class 11 Math MCQ with answers are given here to Chapter 2 Relations and Functions. These MCQs are based on the latest CBSE board syllabus and relate to the latest Class 11 Mathematics syllabus. By Solving these Class 11 MCQs, you will be able to analyze all of the concepts quickly in the Chapter and get ready for the Class 11 Annual exam.

Learn Relations and Functions Class 11 MCQ with answers pdf free download according to the latest CBSE and NCERT syllabus. Students should prepare for the examination by solving CBSE Class 11 Relations and Functions MCQ with answers given below.

Question 1. If f (x) = x3-1/x3 , then f (x) +f(1/x) is equal to
(a) 2 x3
(b) 2. 1/x3
(c) 0
(d) 1

Question 2. 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

Question 3. 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}

Question 4. 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

Question 5. 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

Question 6. 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

Question 7. 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

Question 8. Domain of √a2-x2(a > 0) is
(a) (– a, a)
(b) [– a, a]
(c) [0, a]
(d) (– a, 0]

Question 9. 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

Question 10. 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}

Question 11. 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

Question 12. 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,}

Question 13. The range of the function
f(x) = √(x -1)(3 – x) is :
(a) [– 1, 1]
(b) (– 1, 1)
(c) (– 3, 3)
(d) (– 3, 1)

Question 14. 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)

Question 15. 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)

Whoever needs to take the CBSE Class 11 Board Exam should look at this MCQ. To the Students who will show up in CBSE Class 11 Mathematics Board Exams, It is suggested to practice more and more questions. Aside from the sample paper you more likely had solved. These Relations and Functions Class 11 MCQ are ready by the subject specialists themselves.

Question 16. 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)}

Question 17. 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

Question 18. If f (x) = 3×4 – 5×2 + 9, then value of f (x – 1) is
(a) 3×4 + 12x3 + 13x2 + 2x + 7
(b) 3×4 – 12x3 – 13x2 – 2x – 7
(c) 3×4 – 12x3 + 13x2 – 2x + 7
(d) 3×4 – 12x3 – 13x2 + 2x + 7

Question 19. 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

Question 20. If g(x) = 1 +√x and f [g (x)] = 3 + 2√x + x , then
f(x) =
(a) 1 + 2x2
(b) 2 + x2
(c) 1 + x
(d) 2 + x

Question 21. 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)]

Question 22. 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

Question 23. 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)

Question 24. 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

Question 25. 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

Question 26. Total number of equivalence relations defined in the set S = {a, b, c } is :
(a) 5
(b) 3!
(c) 23
(d) 33

Question 27. 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

Question 28. 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}

Question 29. 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

Question 30. The range of the function f (x) = 7–xPx–3 is :
(a) {1, 2, 3, 4}
(b) {1, 2, 3, 4, 5}
(c) {1, 2, 3}
(d) {1, 2, 3, 4, 5, 6}

Question 31. Domain of the function
f (x) =√( 2 – 2x – x2) is :
(a) – √3 ≤ x ≤ + √3
(b) -1- √3 ≤ x ≤ -1+ √3
(c) -2 ≤ x ≤ 2
(d) -2 + √3 ≤ x ≤-2 -√3

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