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Find the relation if z1, z2, z3, z4 are ...

Find the relation if `z_1, z_2, z_3, z_4` are the affixes of the vertices of a parallelogram taken in order.

A

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

B

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

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
As the diagonals of a parallelogram bisect each other. Therefore, affix of the mid point of AC is same as the affix of the mid point of AC is same as the affix of the mid point of BD.
i.e., `(z_(1)+z_(3))/(2) = (z_(2)+z_(4))/(2) rArr z_(1)=z_(2)+z_(4)`
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