(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Describe the locus of points z satisfying the given equation.

2. Relevant equations

Im(2iz)=7

|z-i|=Re(z)

3. The attempt at a solution

I started on the second one:

I think that Re(z) is just x, then

I squared both sides, simplified and got

(y-1)^2=0 is this correct? If so how would I go about the Im(2iz) LHS on the first equation?

Thank you

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# Complex Numbers Geometry

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