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Find the locus in the complex plane of points that satisfy

  1. Mar 22, 2014 #1
    1. The problem statement, all variables and given/known data

    find the locus in the complex plane that satisfies

    z -c = p (1+it/1-it)

    c is complex, p is real t is a real parameter

    2. Relevant equations



    3. The attempt at a solution

    there is no answer in the text book so i wanted to check my answer. I got a unit circle which is offset by c, so that c is in the centre of the circle.

    please confirm!
    Thanks :)
     
  2. jcsd
  3. Mar 22, 2014 #2

    BruceW

    User Avatar
    Homework Helper

    are you sure it is a unit circle? remember 'p' is a real number there. Also, you should really put parentheses where they are needed. The equation should be written z-c = p (1+it)/(1-it) because this is unambiguous, however z-c = p(1+it/1-it) is very ambiguous and could mean a lot of different things.
     
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