Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
and 
are represented by the complex numbers 
and 
, such that 
, then
A
(where 
is the origin) is equilateral B
is right angled C
the circumcenter of 
is 
is D
the circiucenter of 
is 
is
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(b, c)
We have
Squaring both sides, we have
The angle between 
, and 
is a right angle, taken in order, as shown in the above diagram. Now, the circumcenter of the above diagram will lie on the line 
as diameter and is represented by 
. which is the center of 
, such that 
, where 
is the affix of circumcenter.
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The locus of the points representing the complex numbers z for which |z| – 2 = 0, |z – i| – |z + 5i…
If , then-
If and , then is equal to
Show that the equation Z 4 + 2Z 3 + 3Z 2 + 4Z + 5 = 0 has no root which is either purely real or pu…
Consider the locus of the complex number in the Argand plane is given by 2 i. Let and be two co…
Find the mirror image of the curve about the line .