Complex NumbersHard

Question

If z1 & z2 are two complex numbers & if arg but |z1 + z2| ≠ |z1 - z2| then the figure formed by the points represented by 0, z1, z2 & z1 + z2 is :

Options

A.a parallelogram but not a rectangle or a rhombous
B.a rectangle but not a square
C.a rhombous but not a square
D.a square

Solution

|z1 + z2| = | z1 - z2|
but    z1 + z2 is ⊥ z1 - z2
so its rhombous.

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