Question

Write the equation of the ellipse using the given information. The ellipse has foci (4, 1) and (8, 1) and major vertices (1, 1) and (11, 1).​

Answer 1

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