Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If 
, and 
, where 
and 
is the complex cube root of unity, then
A
If 
lie on the circle 
, the triangle formed by these points is equilateral.
lie on the circle , the triangle formed by these points is equilateral. B
C
D
none of these
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, c)
…… .. (i)
lie on the circle 
, whose circumcenter is origin.
Also, 
. Hence the cenroid coincides with circumcenter. So, the triangle is equilateral.
Now, 
.
…… . (ii)
Hence, 
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