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Functions question

2022 · 29 Jun · Shift 1 · Q39

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JEE Main
Mathematics
Functions
2022 · 29 Jun · Shift 1 · Q39

Functions question

2022 · 29 Jun · Shift 1 · Q39

JEE MainMathematicsFunctionsNumerical+4 / −1

Let c, k

\in

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

R, then the value of

|2(f(1) + f(2) + f(3) + \,\,......\,\, + \,\,f(20))|

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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