- 53

- 0

**1. Homework Statement**

Describe the locus of points z satisfying the given equation.

**2. Homework 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