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If z ne 1 and (z^(2))/(z-1) is real, the...

If `z ne 1` and `(z^(2))/(z-1)` is real, the point represented by the complex numbers 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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The correct Answer is:
A
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