Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
, where 
and 
are fixed complex numbers and 
is a variable complex number, then 
lies on a
A
circle with 
as its interior point
as its interior point B
circle with 
as its interior point
as its interior point C
circle with 
as its exterior point
as its exterior point D
circle with 
as its exterior point
as its exterior point
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
Let internal and external bisectors of 
meet the line joining 
and 
at 
and 
, respectively. Hence,
Thus, 
and 
are fixed points. Also,
Thus, 
lies on a circle having 
as its diameter. Clearly, 
lies inside this circle.
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