Let A = {1, 2, 3, 4,…,45} and R be the relation defined as “is squ

1.	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» 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}

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»

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}