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Question about complex numbers

  1. Apr 2, 2009 #1
    when indicating the region of the complex plane that corresponds to all points z that satisfy the condition
    |z|=11
    this region would be the circle of radius 11 around the origin because the |z-w| is the distance between z and w, where z and w are both complex numbers
    in general |z-w|=r would be a circle around the pt w on the complex plane with radius r

    but how would you indicate a region that satisfies |2z+1| = 3 or |i-2z|=5 for all z?
    what do these represent geometrically?
     
  2. jcsd
  3. Apr 2, 2009 #2

    HallsofIvy

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    |2z+1|= |2(z+1/2)|= 2|z+ 1/2|= 3 so |z+ 1/2|= 3/2.
     
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