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Functions question

2017 · Shift 0 · Q25
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  5. /2017 · Shift 0 · Q25

Functions question

2017 · Shift 0 · Q25

JEE MainMathematicsFunctionsMCQ+4 / −1
Let aaa, b, c ∈R\in R∈R. If fff(x) = ax2 + bx + c is such that aaa+ b + c = 3 and fff(x + y) = fff(x) + fff(y) + xy, ∀x,y∈R,\forall x,y \in R,∀x,y∈R, then ∑n=110f(n)\sum\limits_{n = 1}^{10} {f(n)}n=1∑10​f(n) is equal to
  1. A
    165
  2. B
    190
  3. C
    255
  4. D
    330
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