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Math Help - Sketching complex sets

  1. #1
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    Sketching complex sets

    I'm trying to sketch the following complex set:

    |z-1|+|z-1|=2

    I have tried replacing z=x+yi, but I'm getting nowhere with that approach.

    I'm finding it difficult to visualise as I'm not sure what the solution looks like.

    Thanks!

    Tony
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  2. #2
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    Quote Originally Posted by Tony2710 View Post
    I'm trying to sketch the following complex set:
    |z-1|+|z-1|=2
    Are you sure about that problem?
    You have typed the same expression twice.
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  3. #3
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    Sorry, the problem is:

    |z-1|+|z+1|=2
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  4. #4
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    An ellipse is a set of points such that the sum of the distances from two fixed points is constant.
    That is the situation here. The two fixed points are 1 & -1.
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