JEE Main 20264 Apr, Evening shiftMathematicsMediumSets, Relations and Functions168× since 2002Let for some α∈R\alpha\in\mathbb{R}α∈R, f:R→Rf:\mathbb{R}\to\mathbb{R}f:R→R be a function satisfying f(x+y)=f(x)+2y2+y+αxyf(x+y)=f(x)+2y^2+y+\alpha xyf(x+y)=f(x)+2y2+y+αxy for all x,y∈Rx,y\in\mathbb{R}x,y∈R. If f(0)=−1f(0)=-1f(0)=−1 and f(1)=2f(1)=2f(1)=2, then the value of ∑n=15(α+f(n))\sum_{n=1}^{5}(\alpha+f(n))∑n=15(α+f(n)) is:AOption A. 110BOption B. 140COption C. 150DOption D. 170CheckSkip · show solution
