SOLUTION: need help with this question. Find the standard form of the equation of the ellipse with the given characteristics. foci (2,5),(2,11) endpoints of the major axis: (2,4),(2,12

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: need help with this question. Find the standard form of the equation of the ellipse with the given characteristics. foci (2,5),(2,11) endpoints of the major axis: (2,4),(2,12      Log On


   



Question 444457: need help with this question.
Find the standard form of the equation of the ellipse with the given characteristics.
foci (2,5),(2,11) endpoints of the major axis: (2,4),(2,12)

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.
endpoints of the major axis: (2,4),(2,12) 12-4 = 8/2 b = 4 Center( 2,8)
+%28x-2%29%5E2%2Fa%5E2+%2B+%28y-8%29%5E2%2F16+=+1
foci (2,5),(2,11) f = 3 sqrt%2816-7%29+=+sqrt%289%29+=+3 a^2 = 7
+%28x-2%29%5E2%2F7+%2B+%28y-8%29%5E2%2F16+=+1