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How to sketch a line from complex numbers

  1. Sep 23, 2012 #1
    sketch the line described by the equation |z - u| = |z|
    u = -1 + j√3

    I don't understand how to do this. I'm not sure of what z is exactly. Can anybody explain to me what it is?
     
  2. jcsd
  3. Sep 23, 2012 #2

    SammyS

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    z is a general complex number. It's often represented if the xy-plane (the Argand plane) by letting x be the real part of z and letting y be the imaginary part of z, i.e. z = x + jy, where x & y are real variables.

    So, solve |x + jy -(-1 + j√3)| = |x + jy| for y in terms of x, or x in terms of y.
     
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