The identity element for the binary operation \( * \) defined on \(...

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The identity element for the binary operation \( * \) defined on \( \mathrm{Q} \sim\{0\} \) as \( a * b=\frac{a b}{2} \forall a, b \in \mathrm{Q} \sim\{0\} \) is
\( \mathrm{P} \)
W
(A) 1
(B) 0
(C) 2
(D) none of these
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