Complex NumbersHard

Question

The equation of the radical axis of the two circles represented by the equations,
|z - 2| = 3 and |z - 2 - 3 i| = 4 on the complex plane is :

Options

A.3iz - 3i - 2 = 0
B.3iz - 3i + 2 = 0
C.iz - i + 1 = 0
D.2iz - 2i + 3 = 0

Solution

S1
S2
radical axis  = S1 - S2 = 0
3i - 3iz - 2 = 0
3iz - 3i + 2 = 0

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