Results 1 to 2 of 2

Math Help - Conics, Rectangular Hyperbola

  1. #1
    Junior Member
    Joined
    Dec 2010
    Posts
    50

    Conics, Rectangular Hyperbola

    Hey guys
    how do I prove that the angle between the asymptotes of a rectangular hyperbola is 90 degrees

    I derived the formula from a previous step in the question to find the angle between \frac{x^{2}}{a^{2}}-\frac{y^{2}}{b^{2}}=1 which was \theta=\tan^{-1} (\frac{2ab}{a^{2}-b^{2}})

    so now that in a rectangular hyperbola x^{2}-y^{2}=a^{2}..and now that a^2 =b^2, how do i prove that the angle is 90^\circ

    Thanks
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45
    Quote Originally Posted by aonin View Post
    how do I prove that the angle between the asymptotes of a rectangular hyperbola is 90 degrees

    One way: the asymptotes of

    \dfrac{x^2}{a^2}-\dfrac{y^2}{a^2}=1

    are:

    y=\pm \;x


    Fernando Revilla
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rectangular Hyperbola - Equ. of Tangents
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: April 9th 2010, 09:27 PM
  2. rectangular hyperbola
    Posted in the Geometry Forum
    Replies: 1
    Last Post: August 7th 2009, 05:34 AM
  3. Rotation of conics (Hyperbola)
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: June 23rd 2008, 05:59 AM
  4. Rectangular Hyperbola
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: April 20th 2008, 03:54 AM
  5. Rectangular Hyperbola
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: February 12th 2008, 12:54 PM

Search Tags


/mathhelpforum @mathhelpforum