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CGP EDU Academic Team
Published on: August 14, 2026
The locus of the points representing the complex numbers z for which |z| – 2 = 0, |z – i| – |z + 5i| = 0 is-
Text Solution
Verified by ExpertsThe correct answer is:
C
represents points on a circle centered at
and of radius 2.
i.e.,
represents points equidistant from the points
and 
i.e.,
(2)
Putting
, we get
from (1). Hence both imply the single point
.
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