JEE Main 2012Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If z≠1z \ne 1z=1 and z2z−1 \,{{{z^2}} \over {z - 1}}\,z−1z2 is real, then the point represented by the complex number z lies :AOption A. either on the real axis or a circle passing through the origin.BOption B. on a circle with centre at the originCOption C. either on real axis or on a circle not passing through the origin.DOption D. on the imaginary axis.CheckSkip · show solution