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The point $z_{1}, z_{2}, z_{3}, z_{4}$ 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

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detailed solution

Correct option is B

Diagonals of a parallelogram are bisect each other. z1+z32=z2+z42⇒z1+z3=z2+z4

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The point 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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The point $z_{1}, z_{2}, z_{3}, z_{4}$ in the complex plane are the vertices of a parallelogram taken in order if and only if