Write an equation of the ellipse with foci at (0, ±9), and vertices at (0, ±13).

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Mathematics

Jaslyn Beck

21 May, 19:27

Write an equation of the ellipse with foci at (0, ±9), and vertices at (0, ±13).

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Alvaro Pierce · Answer 1

Write an equation of the ellipse with focus at (0,+-9) and vertices at (0,+-13)

The major axis is along the y-axis

We need to find " b" = √[a^2 - c^2] = √ [ 13^2 - 9^2] = √ [169 - 81] = √88

So ... the equation is

y^2 / a^2 + x^2 / b^2 = 1

y^2 / 169 + x^2 / 88 = 1