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Math Help - Z-plane region

  1. #1
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    Z-plane region

    What region in the z-plane is defined by : |z-1| < |z-2| ?

    (x-1) +j y < (x-2) + j y <-- is this equation right ?

    i can't understand what is question asking for...
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  2. #2
    MHF Contributor chisigma's Avatar
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    By definition |z-a| is the 'distance' of the point z from the point a...

    ... and what is the z-plane region the points of which are less distant from z=1 than from z=2?...

    Kind regards

    \chi \sigma
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  3. #3
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    Quote Originally Posted by Chris0724 View Post
    What region in the z-plane is defined by : |z-1| < |z-2| ?

    (x-1) +j y < (x-2) + j y <-- is this equation right ?

    i can't understand what is question asking for...
    Read this thread: http://www.mathhelpforum.com/math-he...-equation.html

    Draw the locus defined by |z-1| = |z-2|. It divides the complex plane into two regions. Now choose a simple and convenient point from one of those regions and test whether it satisfies |z-1| < |z-2|. If it does, then the region the point belongs to is the solution. If it doesn't, then the other region is the solution.
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