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Relations and Functions: JEE Mains 2022 June 29 Shift 1

Medium· Algebra of functions· +4 / 0

Let

c,k\in\mathbb R

. If

f(x)=(c+1)x^2+(1-c^2)x+2k

and

f(x+y)=f(x)+f(y)-xy

, for all

x,y\in\mathbb R

, then the value of

|2(f(1)+f(2)+f(3)+\dots+f(20))|

is equal to ______.

Your answer (numerical)

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