Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Let
be the vertices of an equilateral tri-angle
in the Argand plane, then the number
, is
Text Solution
Verified by ExpertsThe correct answer is:
B
Step 1: Use equilateral triangle rotation
In an equilateral triangle, rotating one side by
gives another side:

Step 2: Rewrite the expression

Substitute
:

Step 3: Check the nature
has zero real part after simplification, so it is purely imaginary.
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