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.
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-> 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.
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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.
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= ± = ± √3/2