Results 1 to 4 of 4

Math Help - Rectangular Hyperbola - Equ. of Tangents

  1. #1
    Senior Member
    Joined
    Jul 2008
    Posts
    347

    Rectangular Hyperbola - Equ. of Tangents

    Find the equations of tangents to xy = 3 parallel to y + 3x = 4. What is the distance between these tangents.

    Hello.

    How exactly do I find out the points on which the tangents touch the hyperbola?

    Thank you.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    3
    Quote Originally Posted by xwrathbringerx View Post
    Find the equations of tangents to xy = 3 parallel to y + 3x = 4. What is the distance between these tangents.

    Hello.

    How exactly do I find out the points on which the tangents touch the hyperbola?

    Thank you.
    Dear xwrathbringerx,

    First step is to differentiate xy = 3 with respect to x. Can you continue??
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member
    Joined
    Jul 2008
    Posts
    347
    Dear Sudharaka

    What's the point of differentiating the equ. of the hyperbola?

    Isn't that only when you need to find the gradient of the tangents?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Dec 2009
    From
    1111
    Posts
    872
    Thanks
    3
    Quote Originally Posted by xwrathbringerx View Post
    Dear Sudharaka

    What's the point of differentiating the equ. of the hyperbola?

    Isn't that only when you need to find the gradient of the tangents?
    Dear xwrathbringerx,

    Because first you have to find the equation of tangents. For that you have to differentiate the equation of hyperbola. Then since we want tangents parallel to y=-3x+4 equate \frac{dy}{dx}=-3
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Rectangular Hyperbola Problem
    Posted in the Geometry Forum
    Replies: 0
    Last Post: April 17th 2010, 06:04 AM
  2. rectangular hyperbola
    Posted in the Geometry Forum
    Replies: 1
    Last Post: August 7th 2009, 05:34 AM
  3. Hyperbola and tangents
    Posted in the Geometry Forum
    Replies: 2
    Last Post: August 5th 2009, 01:06 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