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Generalized complex circle

  • Thread starter Susanne217
  • Start date
  • #1
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Homework Statement



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

Homework Equations



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

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?

/Susanne
 

Answers and Replies

  • #2
rock.freak667
Homework Helper
6,230
31
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.
 

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