Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be the three nonzero complex numbers such that 
and 
. Let 
Then
A
B
orthocenter of triangle formed by 
is 
is C
if triangle formed by 
is equilateral, then its area is 
is equilateral, then its area is D
if triangle formed by 
is equilateral, then 
is equilateral, then
Text Solution
Verified by ExpertsThe correct answer is:
A
(a, b, d)
Given, 
etc. 
Hence, 
, where 
is the origin and 
are the points representing 
and 
, respectively. Therefore, 
is circumcenter of 
. Now
………… (i)
…… (ii)
Hence, 
Also, centroid is 
. Since 
(where 
is orthocenter and 
is centroid), then orthocenter is 
(by section formula). When triangle is equilateral centroid coincides with circumcenter; hence 
.
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