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If the points `z_(1),z_(2),z_(3)` are the vertices of an equilateral triangle in the Argand plane, then which one of the following is not correct?

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
d
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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Exercise
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  14. Let g(x) and h(x) are two polynomials such that the polynomial P(x) =g...

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  15. If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(...

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