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Question
Find the equation of the ellipse in the cases given below:
Foci (0, ±4) and end points of major axis are (0, ±5)
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Solution
Foci (0, ±c) = (0, +4)
Vertex (0, ±a) = (0, ±5)
∴ c = 4, a = 5
ae = 4
5e = 4
e = `4/5`
b2 = a2 – c2
= 25 – 16
b2 = 9
Equation of the ellipse be `x^2/"b"^2 + y^2/"a"^2` = 1
`x^2/9 + y^2/25` = 1
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