Let " be a binary operation on set Q of rational numbers defined as $a$ * $b=\frac{a b}{5}$. Write the identity for ", if any
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Let " be a binary operation on set $Q$ of rational numbers defined as $a$ * $b=\frac{a b}{5}$. Write the identity for ", if any

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 SOLUTION : Let $\mathbf{e}$ is identity element for '*'

$\Rightarrow a * e=a \Rightarrow \frac{a e}{5}=a \Rightarrow e=5$

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