Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The locus of the points representing the complex numbers 
for which 
, is
A
a circle with center at the origin
B
a straight line passing through the origin
C
the single point 
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Given
So 
lies on circle centered at origin, radius 2.
Also
Points equidistant from 
and 
.
Hence locus is the perpendicular bisector of these points.
Midpoint:
Since points lie vertically, perpendicular bisector is horizontal line
Now intersect with circle 
:
So only point:
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