Question

Let A = {1, 2, 3, 4,…,45} and R be the relation defined as “is square of ” on A. Write R as a subset of A × A. Also, find the domain and range of R.

Answer 1

A = {1, 2, 3, 4, . . . 45}, A x A = {(1, 1), (2, 2) … (45, 45)} 

R – is square of’ 

R = {(1, 1), (2, 4), (3, 9), (4, 16), (5, 25), (6, 36)} 

R ⊂ (A x A) 

Domain of R = {1, 2, 3, 4, 5, 6} 

Range of R = {1, 4, 9, 16, 25, 36}