The identity element for the binary
operation * defined on $Q - \{ 0\}$ as $a*b =
\frac{{ab}}{2},\forall a,b \in Q - \{ 0\}$ is
The identity element for the binary
operation * defined on $Q - \{ 0\}$ as $a*b =
\frac{{ab}}{2},\forall a,b \in Q - \{ 0\}$ is
Official Solution
VVidaara Team
✓ Verified solution
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It is given that,, $a*b = \frac{{ab}}{2},\forall a,b \in Q - \{ 0\}$.
Let $e$ be the identity element for *.
$\therefore$ $a*e = \frac{{ae}}{2}$
$\Rightarrow$ $a = \frac{{ae}}{2} \Rightarrow e = 2$
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