SOLUTION: Need help with this question. Find the standard form of the equation of the ellipse with the following characteristics. foci: (+9,0) major axis of length: 24

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Need help with this question. Find the standard form of the equation of the ellipse with the following characteristics. foci: (+9,0) major axis of length: 24       Log On


   



Question 444440: Need help with this question.
Find the standard form of the equation of the ellipse with the following characteristics.
foci: (+9,0) major axis of length: 24

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 
Hi
Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+
where Pt(h,k) is the center and a and b are the respective vertices distances from center.
foci: (+9,0) major axis along the x=axis
major axis of length: 24 2a = 24 a = 24/2 = 12
+x%5E2%2F144+%2B+y%5E2%2Fb%5E2+=+1
f = sqrt(144-b^2) = 9 sqrt%28144-63%29+=+sqrt%2881%29=+9 b^2 = 63
+x%5E2%2F144+%2B+y%5E2%2F63+=+1