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Thread: tangent lines of parabola that intersect on a certain point...

  1. October 6th 2011, 02:19 PM #1
    Savior_Self
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    tangent lines of parabola that intersect on a certain point...

    Consider the parabola

    y = \frac{x^2}{100}

    Find another point on the parabola with a tangent line that goes through (100,50).

    ---

    Can someone guide me through this please? It's due for homework tomorrow,

    I've got as far as figuring out the tangent line is y=2x-150. Not sure what else to do. Thanks.
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  2. October 6th 2011, 02:37 PM #2
    SammyS
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    Re: tangent lines of parabola that intersect on a certain point...

    Why does it say another point. There are two such points. Have you been given one of them?
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  3. October 6th 2011, 02:52 PM #3
    Plato
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    Re: tangent lines of parabola that intersect on a certain point...

    Quote Originally Posted by Savior_Self View Post
    Consider the parabola
    y = \frac{x^2}{100}
    Find another point on the parabola with a tangent line that goes through (100,50).
    You want to find points (a,b) so that
    b=\frac{a^2}{100}~\&~\frac{b-50}{a-100}=\frac{a}{50}
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