Complex Circles: Path of |z-i| = pi

[ultramat]

Homework Statement

I'm not sure how the graph looks like for the path |z-i| = pi

Homework Equations

I know that if the function is |z-i|=1 means a unit circle center at i

The Attempt at a Solution

Does that mean |z-i|=pi is a circle center at pi with a radius of pi?

Thanks

 

[HallsofIvy]

No. Remember that |a- b| is the distance from a to b in the complex plane. |z- i| says that the distance from the variable point z to the point i is pi. Yes, that's a circle. What is its center?