find the complex numbers Z satisfying the equation:- |Z-4| / |Z-8|=1 & |Z-12 | /|Z-8i|=5/3

Putting *z* = *x* + *iy*, we get

Putting *x* = 6, we have

When *x* = 6 and *y* = 8, we have

*z* = 6 + 8*i*

When *x* = 6 and *y* = 17, we have

*z* = 6 + 17*i*

Thus, z _{1} = 6 + 8*i* and z _{2} = 6 + 17*i* are two complex numbers satisfying the given equations.

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