JEE Main 201912 Jan, Morning shiftMathematicsEasyComplex Numbers and Quadratic Equations264× since 2002If z−αz+α(α∈R){{z - \alpha } \over {z + \alpha }}\left( {\alpha \in R} \right)z+αz−α(α∈R) is a purely imaginary number and | z | = 2, then a value of α\alphaα is :AOption A. 12{1 \over 2}21BOption B. 2\sqrt 22COption C. 2DOption D. 1CheckSkip · show solution