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CGP EDU Academic Team
Published on: August 14, 2026
A complex number z is said to be unimodular if |z| = 1. Let, z 1 and z 2 are complex numbers such that 
is unimodular and z 2 is not unimodular, then the point z 1 lies on a
A
circle of radius 
B
straight line parallel to x -axis
C
straight line parallel to y-axis
D
circle of radius 2
Text Solution
Verified by ExpertsThe correct answer is:
D
circle of radius 2
Given, 
is unimodular
Squaring both the sides, we get,
Given, Z 2 is not unimodular
Point z 1 lies on a circle of radius 2.
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