Let $f: N \rightarrow N$ be a function such that $f(x+y)=f(x)+f(y)+x y$ for every $x, y \in N$. If $f(1)=2$, then $\sum_{k=0}^{10} f(k)=$

• A

  1650
• Correct answer
  B

  275
• C

  550
• D

  1025

Hence, the correct answer is option: 'B'.