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Conics problem

  1. Oct 2, 2005 #1
    Q: If K>0, for what values of k does the system x^2+ (y-5)^2=9 and y=x^2 +K have:

    a) 4 solutions
    b) no solution

    i have no idea how to begin this problem. I know that centre of circle is 5,0 and radius is 3 and the second eqn is a parabola..but thats about it so far..
    any ideas?
  2. jcsd
  3. Oct 2, 2005 #2


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    The center of the circle is (0, 5). I recommend making a sketch of the graphs and I think you'll find it quite illuminating! :)
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