If $|z| = 1$ and $z \neq \pm 1$, then all the values of $\frac{z}{1-z^2}$ lie on (A) a line not passing through the origin (B) $|z| = \sqrt{2}$ (C) the $x$-axis (D) the $y$-axis
If $|z| = 1$ and $z \neq \pm 1$, then all the values of $\frac{z}{1-z^2}$ lie on\\
(A) a line not passing through the origin\\
(B) $|z| = \sqrt{2}$\\
(C) the $x$-axis\\
(D) the $y$-axis