Complex Circles

  • Thread starter ultramat
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  • #1
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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
 

Answers and Replies

  • #2
HallsofIvy
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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?
 

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