Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, b) \in R,$ implies $(b, a) \in R$
Let $R$ be a relation from $N$ to $N$ defined by $R =\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\} .$ Are the following true?
$(a, b) \in R,$ implies $(b, a) \in R$
$R=\left\{(a, b): a, b \in N \text { and } a=b^{2}\right\}$
It can be seen that $(9,3)$ $\in N$ because $9,3 \in N$ and $9=3^{2} .$ Now, $3 \neq 9^{2}=81$ $(3,9)$ $\notin N$
Therefore, the statement $"(a, b) \in R,$ implies $"(b, a) \in R "$ is not true.
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