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Help with conic intersections using algebra

  1. Feb 6, 2012 #1
    1. The problem statement, all variables and given/known data
    Find the intersection points of: Line through (3,1) with slope -1/2, and ellipse through (-3,0) and (-2,2). No graphing just algebra.


    3. The attempt at a solution
    So far I have b=10/4 and a^2=9. I'm not sure how to finish this problem.

    1. The problem statement, all variables and given/known data
    Find the intersection point of: Line through (-1,-1) with slope 2, and hyperbola through (2,0) and (-3,-1). No graphs just algebra.



    3. The attempt at a solution
    So far I have b=1 and a^2=4. Again, not sure where to go from here. Any pointers?
     
  2. jcsd
  3. Feb 7, 2012 #2

    LCKurtz

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    Gold Member

    There are zillions of ellipses passing through (-3,0) and (-2,2). What haven't you told us? Same with the hyperbola.
     
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