Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
where, 
and 
are fixed complex numbers. Then which of the following are true
A
if 
then locus is a circle whose centre is 
then locus is a circle whose centre is B
if 
then locus is a circle whose radius is 
then locus is a circle whose radius is C
if 
then locus is perpendicular bisector of line joining 
and 
then locus is perpendicular bisector of line joining and D
if 
then locus is a circle whose centre is 
then locus is a circle whose centre is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c)
represents a circles with centre 
and radius ' 
'
Squaring we get, 
or, 
represents a circle whose centre is ' 
' and radius is 
.
or 
or 
Comparing with standard equation we get center as 
and radius is
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