Question

A complex number z is said to be unimodular, if |z| = 1. Suppose z1 and z2 are complex numbers such that (z1 - 2z2)/(2 - z1 Bar z2) is unimodular and, z2 is not unimodular. Then, the point z1, **** on a

(a) straight line parallel to X-axis

(b) straight line parallel to Y-axis

(c) circle of radius 2

(d) circle of radius √2

Answer 1

Correct option (c) circle of radius 2

Explanation:

Central idea if z is unimodular, then |z| = 1. Also,