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