Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If from a point 
representing the complex number 
on the curve 
, two tangents are drawn from 
to the curve 
, meeting at points 
and 
, then
A
complex number 
will be on the curve 
will be on the curve B
C
D
orthocenter and circumcenter of 
will coincide
will coincide
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, c, d)
Since 
and 
, so 
and hence 
. Then 
is equilateral. Also, 
. Then from 
. Hence, 
. Then centroid of 
lies on 
.
As 
is an equilateral triangle, so orthocenter, circumcenter, and centroid will coincide. Now,
or 
or 
or 
and 
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