Ex 2.2, 5 - Chapter 2 Class 11 Relations and Functions

Transcript

Ex 2.2, 5 Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}. (i) Write R in roster form A = {1, 2, 3, 4, 6} a , b ∈ A Also, b is exactly divisible by a A = {1, 2, 3, 4, 6} R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)} Ex 2.2, 5 Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}. (ii) Find the domain of R R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)} Domain of R = Set of first elements of relation = {1, 2, 3, 4, 6} Ex 2.2, 5 Let A = {1, 2, 3, 4, 6}. Let R be the relation on A defined by {(a, b): a, b ∈ A, b is exactly divisible by a}. (iii) Find the range of R R = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 6), (2, 2), (2, 4), (2, 6), (3, 3), (3, 6), (4, 4), (6, 6)} Range of R = Set of second elements of relation = {1, 2, 3, 4, 6}