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The three vertices of a triangle are rep...

The three vertices of a triangle are represented by the complex numbers `0`, `z_(1)` and `z_(2)`. If the triangle is equilateral , then :

A

`z_(1)^(2)-z_(2)^(2)=z_(1)z_(2)`

B

`z_(2)^(2)-z_(1)^(2)=z_(1)z_(2)`

C

`z_(1)^(2)+z_(2)^(2)=z_(1)z_(2)`

D

`z_(1)^(2)+z_(2)^(2)+z_(1)z_(2)=0`

Text Solution

Verified by Experts

The correct Answer is:
C
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