Complex NumbersHard
Question
If z1 and z2 are two non-zero complex numbers such that |z1 + z2| = |z1| + |z2| then argz1 - argz2 is equal to
Options
A.
B.- π
C.0
D.-
Solution
|z1 + z2| = |z1| + |z2| ⇒ z1 and z2 are collinear and are to the same side of origin; hence arg z1 – arg z2 = 0.
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