Question: If $\mathrm{z} \neq 1$ and $\frac{\mathrm{z}^{2}}{\mathrm{z}-1}$ is real, then the point represented by the complex number $\mathrm{z}$ lies :
on the imaginary axis.
either on the real axis or on a circle passing through the origin.
on a circle with centre at the origin.
either on the real axis or on a circle not passing through the origin.
Correct Option: , 2
Solution:
