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Eliminating Parameters

  1. May 15, 2012 #1
    1. The problem statement, all variables and given/known data

    Eliminate the parameter:

    x=2-3θ
    y= 4+θ

    2. Relevant equations

    x2 + y2 = r2

    3. The attempt at a solution

    [x=2-3θ]2; [y= 4+θ]2

    x2= 4-12θ+9θ2
    y2= 16+8θ+θ2
    -------------------------------------
    x2+y2 = 20 - 4θ + 10θ2

    r2 = 20 - 4θ + 10θ2

    Is there another step that I can take to simplify this expression further?
     
  2. jcsd
  3. May 16, 2012 #2

    Filip Larsen

    User Avatar
    Gold Member

    From the statement "eliminate the parameter", and assuming the parameter is θ, I would more expect you would have to establish a direct relation between x and y (that is, eliminate θ from the two equations to form one equation involving only x and y).
     
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