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  • $\begingroup$ Welcome to Mathematica.SE! I suggest that: 1) You take the introductory Tour now! 2) When you see good questions and answers, vote them up by clicking the gray triangles, because the credibility of the system is based on the reputation gained by users sharing their knowledge. Also, please remember to accept the answer, if any, that solves your problem, by clicking the checkmark sign! 3) As you receive help, try to give it too, by answering questions in your area of expertise. $\endgroup$ Commented May 4, 2015 at 4:22
  • $\begingroup$ What exactly do you need? It seems to work in the way you describe. Is the problem with the equation Abs[(x + I*y - x1 - I*y1) (x + I*y - x2 - I*y2)] == Abs[(x1 + I*y1) (x2 + I*y2)]? You could plot the real and imaginary parts, but I don't know if that would be what you want. $\endgroup$ Commented May 4, 2015 at 10:30
  • $\begingroup$ For a start I can suggest this: Manipulate[Show[ContourPlot[Abs[(x + I*y - Complex @@ x1) (x + I*y - Complex @@ x2)] == Abs[(Complex @@ x1) (Complex @@ x2)], {x, -15, 15}, {y, -15, 15}]], {{x1, {-5, 5}}, Locator}, {{x2, {-5, 5}}, Locator}] $\endgroup$ Commented May 4, 2015 at 11:40
  • $\begingroup$ @MichaelE2 My problem with my code was that I did not want to have to move the points by real and imaginary part separately but rather than complex numbers on the plane. $\endgroup$ Commented May 4, 2015 at 19:02