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Mathematics 22 Online
OpenStudy (eric_d):

Chap 5 @kirbykirby

OpenStudy (eric_d):

http://prntscr.com/4n31f0

OpenStudy (eric_d):

In this case the sum of the distance of foci (s and s' ) from point B is equal to major axis

OpenStudy (eric_d):

Is the above statement correct ?

OpenStudy (kirbykirby):

Are you asking if the sum of the distance \(\overline{S'B}+\overline{BS}\) = the length of major axis?

OpenStudy (eric_d):

Yes

OpenStudy (kirbykirby):

Yes this is a property of the ellipse. Lol sorry for taking time. I wanted to find a website that had a neat animation illustrating this :) http://www.mathopenref.com/ellipse.html

OpenStudy (eric_d):

I appreciate it

OpenStudy (eric_d):

There are few more question.. Do you time to help me out @kirbykirby

OpenStudy (eric_d):

hv*

OpenStudy (kirbykirby):

I have a few minutes lol

OpenStudy (eric_d):

1)PQ is a chord of the parabola x=at^2 and y=2at, and which passes through the focus (a,0).Show that the locus of the mid-point of PQ is another parabola and hence, find its equation

OpenStudy (eric_d):

Can you sketch the situation for me..

OpenStudy (eric_d):

@kirbykirby

OpenStudy (kirbykirby):

So I believe it's something that should look like this: Since your parabola is parameterized that way, you should have \(y^2=4ax\) And I believe since the chord just has to pass through the focus, and they don't specify any other point, you have to imagine an infinite amount of chords passing through the focus, and the midpoints of all of these chords form a parabola. |dw:1410803648468:dw|

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