If $z \neq 1$ and $\frac{z^{2}}{z-1}$ 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