Published by:
CGP EDU Academic Team
Published on: August 12, 2026
If 
are the 
roots of unity and 
and 
are any two complex numbers such that 
, then 
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
We are given:
Step 1: Expand the modulus squared:
Sum over 
:
Step 2: Use the root of unity property:
Cross terms vanish, leaving:
Step 3: Compare with 
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