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conics

 
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Dec17-03, 05:11 PM   #1
 

conics


"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?
 
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Dec17-03, 10:17 PM   #2
 
Draw an ellipse, show the relationships of A and B, do a little trig....
 
Dec17-03, 11:21 PM   #3
 
Substitute x = ae find y coordinate 2y will be the length of rectum
 
Dec18-03, 05:30 AM   #4
 

conics


Thank you [:)]
 
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