200k views
2 votes
Write an equation of the ellipse with foci at (0, ±9), and vertices at (0, ±13).

1 Answer

5 votes

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

User Thuraya
by
8.5k points