Latus rectum conics math help

  • Thread starter DarkAnt
  • Start date
  • #1
193
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"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?
 

Answers and Replies

  • #2
Draw an ellipse, show the relationships of A and B, do a little trig....
 
  • #3
650
1
Substitute x = ae find y coordinate 2y will be the length of rectum
 
  • #4
193
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Thank you :smile:
 

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