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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_(3)=z_(2)+z_(4)`

B

`|z_(1)-z_(2)|=|z_(2)-z_(3)|`

C

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

D

none of these

Text Solution

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The correct Answer is:
A, B, C
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