WorksheetsRelations and Functions
Total questions: 6
Worksheet time: 3mins
1. If A = {2, 4, 6, 9} and B = {4, 6, 18}, a ∈ A, b ∈ B, find the set of ordered pairs such that 'a' is factor of 'b' and a < b.
(a) {(2, 4), (2, 6), (2, 18), (6, 18), (9, 18)}
(b) {(2, 2), (2, 4), (2, 6), (2, 18), (6, 18), (9, 18)}
(c) {(2, 2), (2, 4), (2, 6), (2, 18), (4, 4), (6, 18), (9, 18)}
(d) {(2, 2), (2, 4), (2, 6), (2, 18), (4, 4), (6, 18), (6, 6), (9, 18)}
Given R = {(x, y): x, y ∈ N, x + 2y = 3}, then the domain of R is
(a) Set of Natural numbers
(b) {1, 3}
(c) {3}
(d) { 1}
Given A= {2, 3, 5, 6} and R = {(x, y) : x, y ∈ A, y is a multiple of x}. Find the Range of R
(a) {2,3,5}
(b) {2, 3, 5, 6}
(c) {2, 3}
(d) {2}
Find x and y If (2x + 3, 34) = (5, x + 3y)
1,11
2,11
1,10
None of these
Find the domain and range of the following relations,
R = {(x, y): x2 + y2 ≤ 20, where x, y ε N}
Domain = {2,4} Range= {2,4}
Domain = {1, 2,4} Range= {1,2,4,6}
Domain = { 2,4} Range= {1,2,4,}
None of these
1. If A = {2, 4, 6, 9} and B = {4, 6, 18}, a ∈ A, b ∈ B, find the set of ordered pairs such that 'a' is factor of 'b' and a < b.
(a) {(2, 4), (2, 6), (2, 18), (6, 18), (9, 18)}
(b) {(2, 2), (2, 4), (2, 6), (2, 18), (6, 18), (9, 18)}
(c) {(2, 2), (2, 4), (2, 6), (2, 18), (4, 4), (6, 18), (9, 18)}
(d) {(2, 2), (2, 4), (2, 6), (2, 18), (4, 4), (6, 18), (6, 6), (9, 18)}
