Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The roots of the equation 
are 
, 
which corresponds to the points 
on the Gaussion plane.
(i) Centroid of the 
is
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(i)
(ii)
Since, 
and 
are the roots of
we get 
⇒ 
And 
Hence, the centroid of the 
is the point of affix ( 
). Now, the triangle will be equilateral, if
Therefore, the condition is 
.
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