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## Homework Statement

If [itex]\frac{z_1-2z_2}{2-z_1\overline{z}_2}[/itex] is unimodulus and z

_{2}is not unimodulus, then find |z

_{1}|.

## Homework Equations

## The Attempt at a Solution

I am a complete dumb at Complex numbers, please someone guide me in the right direction.

In this question, what i understand is this, and nothing else.

[tex]|\frac{z_1-2z_2}{2-z_1\overline{z}_2}|=1[/tex]

and

[tex]|z_2|≠1[/tex]

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