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Latus rectum conics math help

  1. Dec 17, 2003 #1
    "A line segment through a focus with endpoints on the ellipse and perpendicular to the major axis is a latus rectum of the ellipse. Therefore, an ellipse has two latus recta. Show that the length of each latus rectum is 2b^2/a."

    I've been stuck on this for a little while now. Can anyone point me in the right direction?
  2. jcsd
  3. Dec 17, 2003 #2
    Draw an ellipse, show the relationships of A and B, do a little trig....
  4. Dec 17, 2003 #3
    Substitute x = ae find y coordinate 2y will be the length of rectum
  5. Dec 18, 2003 #4
    Thank you :smile:
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