Equations of Ellipses Practice

1. Write an equation for an ellipse centered at the origin, which has foci at ‍$(\pm5,0)$ and vertices at ‍‍$(\pm\sqrt{41},0)$.

2. Write an equation for an ellipse centered at the origin, which has foci at ‍$(\pm\sqrt{13},0)$ and co-vertices at ‍‍$(0,\pm11)$.

3. Write an equation for an ellipse centered at the origin, which has foci at ‍$(\pm8,0)$ and vertices at ‍‍$(\pm17,0)$.

4. Write an equation for an ellipse centered at the origin, which has foci at ‍$(\pm\sqrt{8},0)$ and co-vertices at ‍‍$(0,\pm\sqrt{10})$.

Source: Khan Academy, https://www.khanacademy.org/math/precalculus/x9e81a4f98389efdf:conics/x9e81a4f98389efdf:ellipse-foci/e/equation-of-ellipse-from-foci
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