Complex NumbersHard

Question

If |z - z1| = |z1| and |z - z2| = |z2| be the of two circles if the two circles touch each other then

Options

A.Re (z1 z2) = 0
B.Re = 0
C.Im (z1 z2) = 0
D.Im = 0

Solution

     
∴  Ag = 0, ± π
Im = 0

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