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Math Help - conic coordinates and equations

  1. #1
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    conic coordinates and equations

    I have some more problems with conics to work through....

    1
    What is the equation of the ellipse with foci at (0,-4) and (0,4) and the sum of its focal radii being 10?

    2
    Identify the following conic. that is, is it a circle, parabola, hyperbola, or ellipse? Show why.

    3
    Solve the system of equations.

    3x+4y+z=7
    2y+z=3
    -5x+3y+8z=-31
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  2. #2
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    At least show a little effort! For 2 you haven't even given the "following conic".

    What formulas do you know for conic sections? How is the focal distance related to the lengths of the axes?
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  3. #3
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    Quote Originally Posted by HallsofIvy View Post
    At least show a little effort! For 2 you haven't even given the "following conic".

    What formulas do you know for conic sections? How is the focal distance related to the lengths of the axes?
    Heh....I'm sure I typed it in, I must have accidentally deleted it.

    The conic is:
    x^2-4y^2-4x-24y=48

    As for conic sections, I know that an ellipse is a set of two points,called foci, that, when the sum of distances for point "P" is tabulated results in a constant.
    I only know that to find an equation of a conic from the info I gave I have to use the distance formula.
    I must admit to being a little lost as to how to do that though.
    I think that I divide both sides of the equation by 48, but beyond that I have no idea what to do.....
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