Results 1 to 2 of 2

Math Help - Analytic Geometry Locus

  1. #1
    Newbie
    Joined
    Aug 2008
    Posts
    1

    Analytic Geometry Locus

    A line of fixed length l moves so that its ends are on the coordinate axes. Determine the locus of P on this line which divides it in the ratio m:n. What is the locus if m=n?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    18,925
    Thanks
    1764
    Awards
    1
    Here are some hints.
    First say that \left( {a,0} \right)\,\& \,\left( {0,b} \right) are the endpoints of the segment on the x-axis and on the y-axis respectively.
    Because the line segment has constant length \sqrt {a^2  + b^2 }  = c\;,\;c>0.
    If m=n then P is the midpoint of the segment, so P:\left( {\frac{a}{2},\frac{b}{2}} \right).
    As \left| b \right| \to c\quad  \Rightarrow \quad \left| a \right| \to 0 and visa versa.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. differential geometry locus question
    Posted in the Differential Geometry Forum
    Replies: 2
    Last Post: May 26th 2010, 05:47 PM
  2. [Coordinate Geometry] Locus
    Posted in the Geometry Forum
    Replies: 5
    Last Post: May 4th 2010, 10:55 AM
  3. [Coordinate Geometry] Locus
    Posted in the Geometry Forum
    Replies: 9
    Last Post: May 3rd 2010, 06:36 AM
  4. Analytic geometry
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: January 30th 2009, 08:25 PM
  5. Geometry Locus help!
    Posted in the Geometry Forum
    Replies: 1
    Last Post: November 23rd 2008, 04:43 PM

Search Tags


/mathhelpforum @mathhelpforum