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Math Help - Complex numbers - Geometric place

  1. #1
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    Complex numbers - Geometric place

    Hi everyone, I have been searching for some book or document on the internet, which explains how determine the geometric place of the complex numbers, but, I haven't have luck on my search, so it'd be really nice if someone share a link of this subject with me, or if you prefer, someone could help me determining the geometric places of the following excersices, Thank you


    Complex numbers - Geometric place-codecogseqn.gif

    Complex numbers - Geometric place-codecogseqn-1-.gif

    Complex numbers - Geometric place-codecogseqn-2-.gif
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  2. #2
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    Re: Complex numbers - Geometric place

    Quote Originally Posted by mcolula View Post
    Hi everyone, I have been searching for some book or document on the internet, which explains how determine the geometric place of the complex numbers, but, I haven't have luck on my search, so it'd be really nice if someone share a link of this subject with me, or if you prefer, someone could help me determining the geometric places of the following excersices,
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    No sure that I follow your question.
    |z-w| is the distance between the complex numbers z~\&~w.

    Thus |z-z_0|=2 is a circle of radius 2 centered at z_0.

    |z+2i|=|z-1+i| is the set of all complex numbers equally distance from -2i~\&~1-i~.

    \text{Re} \left( {\frac{1}{z}} \right) = \frac{x}{{{x^2} + {y^2}}}.

    Does that begin to help?
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