JEE Main 20266 Apr, Morning shiftMathematicsEasySets, Relations and Functions168× since 2002Let [⋅][\cdot][⋅] denote the greatest integer function. If the domain of the function f(x)=sin−1(x+[x]3)f(x)=\sin^{-1}\left(\frac{x+[x]}{3}\right)f(x)=sin−1(3x+[x]) is [α,β)[\alpha,\beta)[α,β), then α2+β2\alpha^2+\beta^2α2+β2 is equal to:AOption A. 2BOption B. 5COption C. 10DOption D. 13CheckSkip · show solution
