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Help on complex analysis(locus of z)

  1. Apr 4, 2014 #1
    1. The problem statement, all variables and given/known data.

    if z =x+yi.
    Determine the equation of the locus z in terms of x and y such that |(z+1)/(z-1)|=2

    3. The attempt at a solution.













  2. jcsd
  3. Apr 4, 2014 #2


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    Hello Stephen,

    modulus of a complex number is defined differently: | x+iy |2 = (x+iy)(x-iy) = x2+ y2
  4. Apr 4, 2014 #3


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    Wouldn't it be easier to start by multiplying by |z-1|?
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