Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
are the vertices of an equilateral triangle with 
as its circumcentre then changing origin to 
, then (where 
are new complex numbers of the vertices)
A
and
B
C
Both
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
In an equilateral triangle the circumcenter and the centroid are the same point. So,
To shift the origin at 
, we have to replace 
and 
by 
and 
then equation (i) becomes 
On squaring 
But triangle with vertices 
and 
is equilateral, then 
From (ii) and (iii) we get, 
.
Therefore, 
.
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