JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 29 June 2022, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let

c, k \in \mathbf{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 \mathbf{R}

, then the value of

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

is equal to ____________.

Official answer

3395

NTA final key (2022 Session 1).