The points z1,z2,z3,z4 in the complex plane are the vertices of a parallelogram taken in order, if and only if:

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z1+z4=z2+z3

z1+z3=z2+z4

z1+z2=z3+z4

None of these

answer is B.

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Detailed Solution

Diagonals of a parallelogram are bisected each other at a point i.e., z1+z32=z2+z42 ⇒ z1+z3=z2+z4 .

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