SOLUTION: write an equation of the ellipse with foci (0, plus of minus 2) and co-vertices at (plus or minus 1, 0). a) x^2/25 +y^2 =1 b) x^2 + y^2/25 =1 c) x^2 + y^2/5 =1 d)x^2/5 +y^2 =

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: write an equation of the ellipse with foci (0, plus of minus 2) and co-vertices at (plus or minus 1, 0). a) x^2/25 +y^2 =1 b) x^2 + y^2/25 =1 c) x^2 + y^2/5 =1 d)x^2/5 +y^2 =      Log On


   



Question 440669: write an equation of the ellipse with foci (0, plus of minus 2) and co-vertices at (plus or minus 1, 0).
a) x^2/25 +y^2 =1
b) x^2 + y^2/25 =1
c) x^2 + y^2/5 =1
d)x^2/5 +y^2 =1

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.
ellipse with foci (0, ± 2) and co-vertices at (± 1, 0).
%28x-h%29%5E2%2Fa%5E2+%2B+%28y%29%5E2%2F1%5E2+=+1+
f = +sqrt%28a%5E2-b%5E2%29+=+2 a^2 = 5
%28x%29%5E2%2F5+%2B+%28y%29%5E2%2F1=+1+