Results 1 to 3 of 3

Math Help - Can you help convert the following parametric equ. to cartesian equ.

  1. #1
    Newbie
    Joined
    Mar 2012
    From
    Dubai
    Posts
    3

    Unhappy Can you help convert the following parametric equ. to cartesian equ.

    x=t(t-1)
    y=4t/1-t

    Can you help me convert the above parametric equations to Cartesian equations by eliminating the "t" ?

    thanks a lot
    Vidhu
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member
    Joined
    Nov 2011
    From
    Crna Gora
    Posts
    420
    Thanks
    64

    Re: Can you help convert the following parametric equ. to cartesian equ.

    Quote Originally Posted by vidhu View Post
    x=t(t-1)
    y=4t/1-t

    Can you help me convert the above parametric equations to Cartesian equations by eliminating the "t" ?

    thanks a lot
    Vidhu
    t^2-t-x=0 \Rightarrow t_{1,2}=\frac{1\pm \sqrt {1+4x}}{2}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member

    Joined
    May 2006
    From
    Lexington, MA (USA)
    Posts
    11,719
    Thanks
    634

    Re: Can you help convert the following parametric equ. to cartesian equ.

    Hello, vidhu!

    \begin{array}{ccc}x&=&\dfrac{t}{t-1} \\ y&=&\dfrac{4t}{1-t}\end{array}

    Can you help me convert the above parametric equations to Cartesian?

    We have: . \begin{Bmatrix}x &=& \dfrac{t}{t-1} & [1] \\ \\ y &=& \text{-}4\left(\dfrac{t}{t-1}\right) & [2] \end{Bmatrix}


    Substitute [1] into [2]: . y \:=\:-4x

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: March 15th 2012, 11:58 AM
  2. Replies: 6
    Last Post: April 30th 2010, 01:19 PM
  3. Replies: 3
    Last Post: December 2nd 2008, 10:54 AM
  4. Replies: 3
    Last Post: September 1st 2008, 03:21 AM
  5. [SOLVED] convert from implicit to parametric equation
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: March 26th 2008, 07:49 AM

Search Tags


/mathhelpforum @mathhelpforum