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A function `f:R rarr R` is defined by `f(x+y)-kxy=f(x)+2y^2, AA xy in R and f(1)=2, f(2)=8`, where k is some constant, then `f(x+y). f(1/(x+y))`is equal to `(where x+y ne y)`

A

1

B

4

C

f(1)

D

none of these

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The correct Answer is:
B
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