A complex number z is said to be unimodular if |z| = 1. Suppose z_1 and z_2 are complex numbers such that {z_1-2z_2}/{2-z_1z^{-}_2} is unimodular and z_2 is not unimodular. Then the point z_1 lies on a : [Main 2015]

Correct Answer is : circle of radius 2.

straight line parallel to y-axis

straight line parallel to x-axis.

Complex Numbers Part 1

Section: Mathematics

Question : 77 of 100

Marks: +1, -0

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

−

is unimodular and z2 is not unimodular. Then the point z1 lies on a :

[Main 2015]

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