SOLUTION: Find the standard form of the equation of the ellipse with the given characteristics. foci: (1,1), (1,5) endpoints of the major axis: (1,-5), (1,11) I need help with this problem

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Find the standard form of the equation of the ellipse with the given characteristics. foci: (1,1), (1,5) endpoints of the major axis: (1,-5), (1,11) I need help with this problem      Log On


   



Question 437950: Find the standard form of the equation of the ellipse with the given characteristics.
foci: (1,1), (1,5) endpoints of the major axis: (1,-5), (1,11)
I need help with this problem.

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: (1,-5), (1,11)
%28x-1%29%5E2%2Fa%5E2+%2B+%28y-3%29%5E2%2F8%5E2+=+1 C(1,3)
foci are along the major axis: need to determine that major axis
foci are (1,1), (1,5) F = 2 sqrt%2864-60%29+=+sqrt%284%29 = 2
%28x-1%29%5E2%2F60+%2B+%28y-3%29%5E2%2F64+=+1+