Results 1 to 3 of 3

Math Help - tangent lines of parabola that intersect on a certain point...

  1. #1
    Junior Member
    Joined
    Nov 2008
    Posts
    62

    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.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2010
    From
    Clarksville, ARk
    Posts
    398

    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?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,715
    Thanks
    1642
    Awards
    1

    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}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Tangent to a parabola through a given point.
    Posted in the Calculus Forum
    Replies: 7
    Last Post: August 15th 2010, 10:48 PM
  2. Replies: 2
    Last Post: December 9th 2008, 01:41 AM
  3. Tangent Lines to the Curves at Point C
    Posted in the Calculus Forum
    Replies: 3
    Last Post: November 5th 2008, 02:27 PM
  4. Tangent Lines and derivatives at a point
    Posted in the Calculus Forum
    Replies: 10
    Last Post: May 9th 2008, 05:28 PM
  5. Lines Tangent to a Parabola
    Posted in the Calculus Forum
    Replies: 1
    Last Post: February 22nd 2008, 04:08 PM

Search Tags


/mathhelpforum @mathhelpforum