Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If a complex number 
satisfies 
and 
, then ( 
is complex cube root of unity)
A
is purely imaginary number B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a, b, d)
We have
This means that 
lies on a circle whose centre is at origin and radius is 1.
Also, 
This implies that 
lies on a ray emanating from 
making an angle of 
with positive real axis.
and 
Thus, triangle 
is equilateral.
Also, 
Therefore, 
is purely imaginary number.
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