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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.`4x^2+9y^2=36`

Text Solution

Verified by Experts

Given equation is,
`4x^2+9y^2 = 36`
We will convert this equation into standard form.
`=>4/36x^2+9/36y^2 = 1`
`=> x^2/9+y^2/4 =1 `
So, this is our standard equation of ellipse with,
`a = 3, b = 2`
`c = sqrt(a^2-b^2) = sqrt(9-4) = sqrt5`
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