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Let a, b, c in R. If f (x) = ax^(2) + bx...

Let a, b, `c in R`. If `f (x) = ax^(2) + bx + c` is such that `a + b + c = 3 and f(x + y) = f(x) + f(y) + xy, AA x, y in R, " then " underset(n =1)overset(10)sum f (n)` is equal to

A

`(-1,0) cup (0 , 1)`

B

`(1 , 2)`

C

`(-2 , -1)`

D

`(-oo , -2) cup (2 , oo)`

Text Solution

Verified by Experts

The correct Answer is:
B
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