5. PYQ - Domain and range

Let \(A = \{1, 2, 3, 4, ..., 42\}\) and \(R\) be the relation defined as "is square of a number" on \(A\). Write \(R\) as a subset of \(A \times A\). Also, compute the domain and range of \(R\). 

 

Domain \(=\) \(\{1, 2, 3, 4, 5\}\) \(\{1, 2, 3, 4, 5, 6\}\) \(\{1, 2, 3, 4, 5, 6, 7\}\) \(\{0, 1, 2, 3, 4, 5, 6\}\) 

 

Range \(=\) \(\{1, 4, 9, 16, 25\}\)\(\{1, 4, 9, 16, 25, 36\}\)\(\{0, 1, 4, 9, 16, 25, 36\}\)\(\{1, 4, 9, 16, 25, 36, 49\}\)