The set of values of a for which the function f(x)= x+ [ x^2 a ] defined on [-2,2] is an odd function is

JEE Main Mathematics question

The set of values of for which the function defined on is an odd function is

Answer: (A)

is odd, but is even (it depends on ). For to be odd the even part must vanish identically

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Question ID VK-007625