If z(1), z(2), z(3) be vertices of an e...

If `z_(1), z_(2), z_(3)` be vertices of an equilateral triangle occurring in the anticlockwise sense then,

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

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

` z_(1)+omega z_(2)+omega^(2) z_(3)=0`

none of these

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