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The point z(1),z(2),z(3),z(4) in the co...

The point ` z_(1),z_(2),z_(3),z_(4)` in the complex plane are the vertices of a parallogram taken in order, if and only if.
` (1) z _(1) +z_(4)=z_(2)+z_(3)` (2) ` z_(1)+z_(3) =z_(2) +z_(4)`
(3) ` z_(1)+z_(2) =z_(3)+z_(4)` (4) ` z_(1) + z_(3) ne z_(2) +z_(4)`

A

`z_(1) + z_(4) = z_(2) + z_(3)`

B

` z_(1) + z_(3) = z_(2) + z_(4)`

C

` z_(1) + z_(2) = z_(3) + z_(4)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
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