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Math Help - Parabola: co-ordinates of the focus & tangent

  1. #1
    Super Member Quacky's Avatar
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    Parabola: co-ordinates of the focus & tangent

    Hey, I'm struggling with this question:

    The point P (at^2, 2at) lies on the parabola C with equation  y^2=4ax where a is a positive constant. The point Q lies on the directrix of C. The point Q also lies on the X axis.

    State the co-ordinates of the focus of C and the co-ordinates of Q.

    The tangent to C at P passes through the point Q.

    Also, find, in terms of a, the two sets of possible coordinates of P.

    I don't know where to get stared with this question.
    Last edited by Quacky; September 22nd 2010 at 02:48 PM.
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  2. #2
    Super Member Quacky's Avatar
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    I've attempted this but I don't think my solution is correct. Any responses are still extremely welcome.
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  3. #3
    Super Member Quacky's Avatar
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    Oh, my answer was right. Sorry for wasting your time.
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