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Question
Given the ellipse with equation 9x2 + 25y2 = 225, find the major and minor axes, eccentricity, foci and vertices.
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Solution
We put the equation in standard form by dividing by 225 and get
`x^2/25 + y^2/9` = 1
This shows that a = 5 and b = 3.
Hence 9 = 25(1 – e2)
So e = `4/5`.
Since the denominator of x2 is larger
The major axis is along x-axis, minor axis along y-axis, foci are (4, 0)
And (– 4, 0) and vertices are (5, 0) and (–5, 0).
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