If z ne 1 and frac{z^2}{z-1} is real, th...

If `z ne 1` and `frac{z^2}{z-1}` is real, then the point represented by the complex number z lies

A

either on the real axis or on a circle passing through the origin

B

on a circle with centre at the origin

C

either on the real axis or on a circle not passing through the origin

D

on the imaginary axis

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