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If a function satisfies (x-y)f(x+y)-(x+y...

If a function satisfies `(x-y)f(x+y)-(x+y)f(x-y)=2(x^2 y-y^3) AA x, y in R and f(1)=2, then a) f(x) must be polynomial function, b) f(3)=12, c) f(0)=0, d) f(x) may not be differentiable.

A

f (x) must be polynomial function

B

`f (3) =12`

C

`f (0)=0`

D

`f (3) =13`

Text Solution

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The correct Answer is:
A, B, C
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