If $\;|z^{2}-1| = |z|^{2}+1\;$, then show that $z$ lies on imaginary axis

Question

$\begin{array}{1 1} \text{(a) z lies on imaginary axis} \\ \text{(b) z lies on real axis} \\ \text{(c) z is not lies on imaginary axis} \\ \text{(d)None of these}\end{array}$