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If z(1),z(2),z(3) are the vertices of an...

If `z_(1),z_(2),z_(3)` are the vertices of an equilateral triangle in the Argand plane, then
`(z_(1)^(2)+z_(2)^(2)+z_(3)^(3))=lambda(z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1))` holds true when :

A

`lambda=1`

B

`lambda=2`

C

`lambda=3`

D

`lambda=4`

Text Solution

Verified by Experts

The correct Answer is:
A
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