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Find the equation for the ellipse that satisfies the given conditions:Vertices `(0,+-13),`foci `(0,+-5)`

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Find the equation for the ellipse that satisfies the given conditions:Vertices `(0,+-13),`foci `(0,+-5)`
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Equation of ellipse can be given as
`x^2/a^2+y^2/b^2 = 1`
Here, we are given, `b = 13`
`c = 5`
So, `a^2 = b^2-c^2`
`=> a^2 = 13^2-5^2 = 169-25 = 144`
So, equation of the ellipse will be, `x^2/144+y^2/169 = 1`
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