If \( |z|=1 \) and \( z \neq \pm 1 \), then all the values of \( \f...

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If \( |z|=1 \) and \( z \neq \pm 1 \), then all the values of \( \frac{z}{1-z^{2}} \) lie on
\( \mathrm{P} \)
[IIT-JEE 2007, 3M]
W
(a) a line not passing through the origin
(b) \( |z|=\sqrt{2} \)
(c) the \( X \)-axis
(d) the \( Y \)-axis
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