1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Homework Help: Generalized complex circle

  1. Mar 30, 2010 #1
    1. The problem statement, all variables and given/known data

    Let have the problem to find the complex generalized cirlce of radius r

    2. Relevant equations

    [tex]|z-c|^2 = r^2 [/tex]

    3. The attempt at a solution

    hvor r is the radius and c the center..

    by expanding the above

    [tex]z\overline{z} - z\overline{c} - \overline{z}c + c\overline{c} -r^2 = 0[/tex]

    I know that if I multiply with a real number when I can get a more pretty expression, but what as is my motivation to do this?

  2. jcsd
  3. Mar 30, 2010 #2


    User Avatar
    Homework Helper

    You mean you want to prove that

    |z-c|=r is a circle?

    if so then just recall z=x+iy and that c is also a complex number.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook