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Homework Help: Describe this group graphicly

  1. Oct 13, 2009 #1


    User Avatar


    i know that |z-i| is a circle
    shifted by i
    |z-1| means center shifted by 1

    but its not telling the full picture
  2. jcsd
  3. Oct 13, 2009 #2


    Staff: Mentor

    Please don't double-post.
    Edit: This is actually not a duplicate, but it would be better if you came up with different titles for different problems.

    No, |z - i| represents the distance from an arbitrary complex number z to i. The value is a real number. It is not a circle.
    In your original equation, the expression is |z - 1|. This represents the distance from some complex number z to 1.
    Think about what it means that the distance from z to i equals the distance from the same z to 1.
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