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If z!=1 and (z^2)/(z-1) is real, then th...

If `z!=1` and `(z^2)/(z-1)` is real, then the point represented by the complex number z lies (1) either on the real axis or on a circle passing through the origin (2) on a circle with centre at the origin (3) either on the real axis or on a circle not passing through the origin (4) on the imaginary axis

A

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

B

On the imaginary axis

C

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

D

on a circle with centre at the origin.

Text Solution

Verified by Experts

The correct Answer is:
C
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