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

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

A

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

B

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

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
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