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# A complex number z is said to be uni modular if $|z|=1$. suppose $z_1$ and $z_2$ are complex numbers such that $\large\frac{z_1-2z_2}{2-z_1z_2}$ is unimodular and $z_2$ is not unimodular. Then the point $z_1$ lies on a :

$\begin{array}{1 1} \text{circle of radius} \sqrt{2} \\ \text{straight line parallel to x-axis } \\ \text{straight line parallel to y- axis} \\ \text{circle of radius 2} \end{array}$

$\text{circle of radius 2}$