If f(x)+2f(1-x)=x^2+2AA x in R, then f(x...

If `f(x)+2f(1-x)=x^2+2AA x in R,` then `f(x)` given as

A

`((x-1)^(2))/(3)`

B

`((x-2)^(2))/(3)`

C

`x^(2)-1)`

D

`x^(2)-2`

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The correct Answer is:

B

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