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MAT Lab - Elipse & Line Question

  1. Sep 3, 2010 #1
    I have a question on an assignment that's due at 11:55 tonight. Here is the question:

    Compute the intersection of a line and an ellipse centered at (0,0). Ellipse equation is b²x² + a²y² = a²b²
    where b is the minor axis and a is the major axis.

    I am having trouble finding A, B, and C- somewhere down the line, I know the Quadratic Eq. is used to find x. I also know AX² + BX + C = 0 is used. I've combined the slope (y = mx + c) into the ellipse equation ==> b²x² + a² (mx+c)² = a² b². I then distributed the a², yielding b²x² + (a²mx + a²c)² = a²b². Here is where I'm stuck. I know that ultimately I am trying to find A, B, and C.

    A= (a²mx + a²c)²??
    B= ??
    C= b²x² - a²b²?? I am SO lost and confused!! lol
    1. The problem statement, all variables and given/known data

    2. Relevant equations

    3. The attempt at a solution
  2. jcsd
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