# Q9 (1)  Let R be a relation from N to N defined by $R = \left \{ ( a,b): a,b \epsilon N \: \:and \: \: a = b ^ 2 \right \}$ . Are             the following true?            $( a,a ) \epsilon R ,$ for all $a \epsilon N$

$R = \left \{ ( a,b): a,b \epsilon N \: \:and \: \: a = b ^ 2 \right \}$
$( a,a ) \epsilon R ,$  for all  $a \epsilon N$
Now, it can be seen that  $2 \ \epsilon \ N$  But, $2 \neq 2^ 2 = 4$