Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The locus represented by the equation 
, is
A
a circle of radius 1
B
an ellipse with foci at 1 and - 
C
a line through the origin
D
a circle on the line joining 1 and - 
as diameter
as diameter
Text Solution
Verified by ExpertsThe correct answer is:
C
We are given:
Step 1: Geometric interpretation
The points 
are equidistant from 1 and i in the complex plane.
The set of points equidistant from two fixed points is the perpendicular bisector of the segment joining them.
Step 2: Find equation
Let 
:
So, a line through the origin.
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