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If P(z(1)),Q(z(2)),R(z(3)) " and " S(z(4...

If `P(z_(1)),Q(z_(2)),R(z_(3)) " and " S(z_(4))` are four complex numbers representing the vertices of a rhombus taken in order on the complex plane, which one of the following is held good?

A

`(z_(1)-z_(4))/(z_(2)-z_(3))` is purely real

B

`(z_(1)-z_(3))/(z_(2)-z_(4))` is purely imaginary

C

`abs(z_(1)-z_(3)) ne abs(z_(2)-z_(4))`

D

`amp((z_(1)-z_(4))/(z_(2)-z_(4))) ne amp((z_(2)-z_(4))/(z_(3)-z_(4)))`

Text Solution

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The correct Answer is:
A, B, C
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