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If z(1),z(2),z(3), represent vertices of...

If `z_(1),z_(2),z_(3)`, represent vertices of an equilateral triangle such that `|z_(1)|=|z_(2)|=|z_(3)|` then

A

`z_(2)+z_(2)+z_(3)=0` and `z_(1)z_(2)z_(3)=1`

B

`z_(1)+z_(2)+z_(3)=1` and `z_(1)z_(2)z_(3)=1`

C

`z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)=0` and `z_(1)+z_(2)+z_(3)=0`

D

`z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)=0` and `z_(1)z_(2)z_(3)=1`

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