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  • The identity element for the binary operation * defined on Q ~ {0} as a * b = 2 ab a, b Q ~ {0} is (a) 1 (b) 0 (c) 2 (d) None of these

The identity element for the binary operation * defined on Q ~ {0} as a * b = 2 ab  a, b  Q ~ {0} is

(a) 1 (b) 0 (c) 2 (d) None of these 

Answers (1)

 (c)

 Here: a \ast b = ab/2 a, b Q \sim \{ 0 \} \\

 Assume ‘e’ as the identity element.

 Therefore, a \ast e = ae/2 = a \rightarrow e = 2 \\

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