Question

Find the equation of the ellipse who foci are (1,4) and (3,4) and with major axis of length 4.

Answer 1

the center is at (2,4)

Answer 2

the distance from the foci to the center is Sqrt[a^2-b^2]

Answer 3

2a = 4 -> a=2
1 = Sqrt[2^2 - b^2] -> b = Sqrt[3]

Answer 4

The equation for the ellipse is
(x-2)^2/4 + (y-4)^2/3 = 1

Answer 5

Wow dcrose, thank you very much!