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JEE MAIN 2022

29-06-22 S1

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Let $c, k \in R$. If $f(x)=(c+1) x^2+\left(1-c^2\right) x+2 k$ and $f(x+y)=f(x)+f(y)-x y$, for all $x, y \in R$, then the value of $[2(f(1)+f(2)+f(3)+\ldots \ldots .+f(20))]$ is equal to $\_\_\_\_$ .

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