1. Mar 30, 2010 #1

   Susanne217

   

   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?
   
   /Susanne

    

   Susanne217, Mar 30, 2010
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3. Mar 30, 2010 #2

   rock.freak667

   

   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.

    

   rock.freak667, Mar 30, 2010

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