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Math Help - region represented complex no/ problem

  1. #1
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    region represented complex no/ problem

    find the region represented by |z-4| < |z-2|, where z is a complex number.

    my incomplete soln-
    don't have any idea about it.
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  2. #2
    Super Member Quacky's Avatar
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    Quote Originally Posted by saha.subham View Post
    find the region represented by |z-4| < |z-2|, where z is a complex number.

    my incomplete soln-
    don't have any idea about it.
    |z-4|<|z-2|
    Have you drawn a graph to help? Hint: Consider the lines x=2, x=3 and x=4
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  3. #3
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    Write \displaystyle z = x + iy, where \displaystyle x, y \in \mathbf{R} and simplify.
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