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The identity element for the binary operation `**` defined on Q - {0} as `a ** b=(ab)/(2), AA a, b in Q - {0}` is

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The identity element for the binary operation `**` defined on Q - {0} as `a ** b=(ab)/(2), AA a, b in Q - {0}` is
A. 1
B. 0
C. 2
D. None of these
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1 Answer

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Correct Answer - C
Given that, `a ** b = (ab)/(2), AA a,b in Q - {0}.`
Let e be the identity element for `**`.
` :. A ** e = (ae)/(2)`
`implies a=(ae)/(2)implies e=2`
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