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Complex Numbers-maths Help

Math Complex numbers help?

I will answer one question, and I am choosing:
3) Find all complex numbers z such that |z-1|=|z+3|=|z-i|.
This means z is equidistant from 1+0i, -3+0i, and 0+i.
finding the intersection of the perpendicular bisector of the first two numbers, and that of the last two numbers we get:
z = -1-i ⇦ ⇦ ⇦

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