SOLUTION: Given the ellipse: x^2+4y^2-2x-8y+1=0 Find the center, the length of the major axis, length of the minor axis, and the distance from the center to the foci.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Given the ellipse: x^2+4y^2-2x-8y+1=0 Find the center, the length of the major axis, length of the minor axis, and the distance from the center to the foci.       Log On


   



Question 873644: Given the ellipse: x^2+4y^2-2x-8y+1=0
Find the center, the length of the major axis, length of the minor axis, and the distance from the center to the foci.

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
x^2+4y^2-2x-8y+1=0
(x-1)^2 -1 + 4(y-1)^2 -1 +1 = 0
(x-1)^2 + 4(y-1)^2 = 1
(x-1)^2/1^2 + (y-1)^2/(1/2)^2 = 1 C(1,1)
length of the major axis: 2
length of the minor axis: 1
distance from the center to the foci= ± sqrt%283%2F4%29= ± √3/2