CBSE Class 11 Mathematics Relations And Functions Worksheet Set 01

Question. Which of the following is an ordered pair?
(a) (p,q), p ∈ P andq ∈ Q
(b) [p,q], p ∈ P andq ∈ Q
(c) {p,q}, p ∈ P andq ∈ Q
(d) All of the above
Answer : A

Question. There are three relations R₁, R₂ and R₃ such that R₁ = {(2, 1), (3, 1)(4, 2)}, R₂ = {(2, 2), (2, 4), (3, 3), (4, 4)} and R₃ = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6), (6, 7)}. Then,
(a) R₁ and R₂ are functions
(b) R₂ and R₃ are functions
(c) R₁ and R₃ are functions
(d) Only R₁ is a function
Answer : C

Question. If A = {1, 2, 5, 6} and B = {1, 2, 3}, then what is (A × B ) ∩ (B × A) equal to?
(a) {(1,1), (2,1), (6,1), (3,2)}
(b) {(1,1), (1,2), (2,1), (2,2)}
(c) {(1,1), (2,2)}
(d) {(1,1), (1,2), (2,5), (2, 6)}
Answer : B

Question. Is the given relation a function? {(3, 3), (4, 2), (5, 1), (6, 0), (7, 7)}
(a) Yes
(b) No
(c) cannot say
(d) Insufficient data
Answer : A

Question. If A × B = {(a, 1), (b, 3), (a, 3), (b, 1), (a, 2), (b, 2)}. Then, A and B is
(a) A = {1, 3,2} andB = {a,b }
(b) A = {a,1,2} andB = {b, 3}
(c) A = {a,b } andB = {1,2, 3}
(d) A = {a,b,1} andB = {a,b,2, 3}
Answer : C

Question. If A = {1, 2, 3, 4} and B = {5, 6, 7, 8}, then which of the following are relations from A to B?
(a) R₁ = {(1,5), (2, 7), (3,8)}
(b) R₂ = {(5,2), (3, 7), (4, 7)}
(c) R₃ = {(6, 2), (3, 7), (4, 7)}
(d) All are correct
Answer : A

Question. If a relation R is defined on the set Z of integers as follows (a, b ) ∈ R ⇔ a² + b² = 25, then domain (R) is equal to
(a) {3,4,5}
(b) {0, 3,4,5}
(c) {0, ± 3, ± 4, ± 5}
(d) None of these
Answer : C

Question. For each non-zero real number x, let f (x) = X/ | X | The range of f is
(a) a null set
(b) a set consisting of only one element
(c) a set consisting of two elements
(d) a set consisting of infinitely many elements
Answer : C

Question. If [×]² - 5 [×]+ 6 = 0, where [ × ] denote the greatest integer function, then
(a) x Î[3,4]
(b) x Î(2, 3]
(c) x Î[2, 3]
(d) x Î[2,4)
Answer : C

Question. If A = {1, 2, 6} and R be the relation defined on A by R = {(a,b ):a ∈ A,b ∈ A and a divides b}, then range of R is equal to
(a) {1, 2}
(b) {2, 6}
(c) {1, 2, 6}
(d) None of these
Answer : C

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) n^m −1
(c) mn −1
(d) 2 1 ^{- mn}
Answer : D

Question. The values of a and b, if ordered pair is (2a − 5, 4) = (5, b + 6)
(a) −2,5
(b) 2,5
(c) 5,2
(d) 5, −2
Answer : D

Question. Let A = {a, b, c , d} and B = {x, y, z }. What is the number of elements in A × B ?
(a) 6
(b) 7
(c) 12
(d) 64
Answer : C

Question. Let A = {1, 2, 3, 4} andB = {1, 4, 9, 16, 25} and R be a relation defined from A to B, as R = {(x, y ):x ∈ A, y∈ B and y = x² }, then domain of R and codomain of R is
(a) {1, 2, 3, 4} and {1, 4, 9, 16, 25}
(b) {1, 4, 9, 16, 25} and {1, 2, 3, 4}
(c) {1, 2, 3, 4} and {1, 2, 3, 4, 9, 16, 25}
(d) None of the above
Answer : A

Question. The domain and range of the function f given by f (x) = 2 − | x − 5| is
(a) Domain = R⁺ , Range = (− ∝,1]
(b) Domain = R, Range = (−∝,2]
(c) Domain = R, Range = (−∝,2)
(d) Domain = R⁺ , Range = (−∝,2]
Answer : B

Please click on below link to download CBSE Class 11 Mathematics Relations And Functions Worksheet Set A