Attachment 24734 Use the following ellipse : (F, F' are foci of the ellipse and the line passes through it.)

Prove :

I tried to prove it using directrix, but it got way too complicated.

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- September 8th 2012, 06:06 AMlaniermsEllipse Proof
Attachment 24734 Use the following ellipse : (F, F' are foci of the ellipse and the line passes through it.)

Prove :

I tried to prove it using directrix, but it got way too complicated. - September 8th 2012, 11:15 AMMaxJasperRe: Ellipse Proof
- September 8th 2012, 04:31 PMlaniermsRe: Ellipse Proof
It seems like a nice proof, but can there be another way without using eccentricity?

- September 9th 2012, 04:27 PMMaxJasperRe: Ellipse Proof
Variation of by fpr a=3, b=2

http://mathhelpforum.com/attachment....1&d=1347236778 - September 10th 2012, 07:49 AMlaniermsRe: Ellipse Proof
I don't quite understand the part where you said

PF = a(1-ecos(theta))

Can you please explain more about it? - September 10th 2012, 08:49 AMMaxJasperRe: Ellipse Proof
OF = e*a