A binary operation is defined by a b ab If a 2 ...

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A binary operation * is defined by a*b = a^b. If a*2 = 2-a, find the possible values of a.

Correct Option: D

a * b = a^b
a * 2 = a² = 2 - a
a² + 2a - a - 2 = 0
a(a+2) - 1(a+2) = 0
(a-1)(a+2) = 0
a = 1, -2