A complex number \( z \) is said to be unimodular if \( |z|=1 \). S...
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A complex number \( z \) is said to be unimodular if \( |z|=1 \). Suppose \( z_{1} \) and \( z_{2} \) are complex numbers such that \( \frac{z_{1}-2 z_{2}}{2-z_{1} \bar{z}_{2}} \) is unimodular and \( z_{2} \) is not unimodular. Then the point \( z_{1} \) lies on a
\( \mathrm{P} \)
(1) circle of radius 2
(2) circle of radius \( \sqrt{2} \)
(3) straight line parallel to \( x \)-axis
(4) straight line parallel to \( y \)-axis
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