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Homework Help: Complex Circles

  1. Oct 14, 2008 #1
    1. The problem statement, all variables and given/known data

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

    2. Relevant equations

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


    3. The attempt at a solution

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

    Thanks
     
  2. jcsd
  3. Oct 14, 2008 #2

    HallsofIvy

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    Science Advisor

    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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