Asked by Maria
Write the equation of the ellipse using the given information:
The ellipse has foci (4, 1) and (8, 1) and vertices (1, 1) and (11, 1);
The ellipse has foci (4, 1) and (8, 1) and vertices (1, 1) and (11, 1);
Answers
Answered by
Steve
from the foci, it is clear that the center is at (6,1) and
c = 2
Since the major axis has length 10, a=5
b^2 = 25-4 = 21
so, the equation is
(x-6)^2/25 + (y-1)^2/21 = 1
see the data at
http://www.wolframalpha.com/input/?i=ellipse+(x-6)%5E2%2F25+%2B+(y-1)%5E2%2F21+%3D+1
c = 2
Since the major axis has length 10, a=5
b^2 = 25-4 = 21
so, the equation is
(x-6)^2/25 + (y-1)^2/21 = 1
see the data at
http://www.wolframalpha.com/input/?i=ellipse+(x-6)%5E2%2F25+%2B+(y-1)%5E2%2F21+%3D+1
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