JEE Main 20249 Apr, Morning shiftMathematicsHardSets, Relations and Functions168× since 2002If the domain of the function f(x)=sin−1(x−12x+3)f(x)=\sin ^{-1}\left(\frac{x-1}{2 x+3}\right)f(x)=sin−1(2x+3x−1) is R−(α,β)\mathbf{R}-(\alpha, \beta)R−(α,β), then 12αβ12 \alpha \beta12αβ is equal to :AOption A. 40BOption B. 36COption C. 24DOption D. 32CheckSkip · show solution