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if the complex no z1 , z2 and z3 repre...

if the complex no `z_1 , z_2 and z_3 ` represents the vertices of an equilateral triangle such that `|z_1| = | z_2| = | z_3| ` then relation among `z_1 , z_2 and z_3 `

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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