# Solve the following

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 :

1.  on the imaginary axis.

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

3.  on a circle with centre at the origin.

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

Correct Option: , 2

Solution:

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