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
P \( \frac{z_{1}-2 z_{2}}{2-z_{1} \bar{z}_{2}} \) is unimodular and \( z_{2} \) is not unimodular. Then

W the point \( z_{1} \) lies on a
[JEE Main 2015, 4M]
(a) circle of radius \( z \)
(b) circle of radius \( \sqrt{2} \)
(c) straight line parallel to \( X \)-axis
(d) straight line parallel to \( Y \)-axis
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