**Find a function f(z) such that the line below is the graph of the equation |z-3i|=|f(z)|**. z is a complex number in the form a+bi in all 3 questions

\

i know the equation of the line is y = x/2 + 1/2, but i don't know how to continue on

**The square of the non-real complex number \(z\) is equal to \(\overline{z}\). What is the real part of z?**

i wrote an equation that was \((a+bi)^2=a-bi\) and from there \(a^2 + 2abi - b^2 = a - bi\), but i don't know how to continue on from there

**Find all complex numbers z such that**\(|z - 3| = |z+i| = |z -3i|.\)

i tried writing some equations but it didn't work out

Oofrence Oct 8, 2019