Let {\c}, {\k} \in {\R}. If f(x)=(c+1) x^2+(1-c^2) 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)+. . . . . .+f(20))| is equal to____ [29-Jun-2022-Shift-1]

Functions Part 1

Section: Mathematics

Question : 20 of 100

Marks: +1, -0

Let c,k∈R. If f(x)=(c+1)x2+(1−c2)x+2k and f(x+y)=f(x)+f(y)−xy, for all x,y∈R, then the value of |2(f(1)+f(2)+f(3)+......+f(20))| is equal to____

[29-Jun-2022-Shift-1]

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