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, lies 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,