(adsbygoogle = window.adsbygoogle || []).push({}); Find the equation of ellipse given vertices and focus Check plz

Hi the question is find the equation of the following ellipse, given vertices at (8,3) and (-4,3) and one focus at (6,3)

Well I drew a digram with the 3 points

First I found the midpoint of the given vertices to get the center of the ellipse I got (h,k) to be (2,3) then I found the distance between the center and the vertex a=6

the only thing I wasnt sure about was how to find b, but this is what I did I found the distance between the two vertices and got 12, I think this is also the legnth of the major axis therefore 2b=12 so b=6

My final equation for the ellipse is

[tex] \frac {(x-2)^2} {36} + \frac {(y-3)^2} {36} =1 [/tex] Help me out is this correct?

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# Homework Help: Find the equation of ellipse given vertices and focus Check

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