Find the equation of the ellipse with vertices at $(-20,0)$ and $(20,0)$ and foci at $(15,0)$ and $(-15,0)$.
A) $\frac{x^{2}}{400}+\frac{y^{2}}{175}=1$
B) $\frac{x^{2}}{175}+\frac{y^{2}}{400}=1$
C) $\frac{x^{2}}{400}+\frac{y^{2}}{225}=1$
D) $\frac{x^{2}}{225}+\frac{y^{2}}{400}=1$

Question

Quizplus · Accepted Answer

The distance between the vertices is 40, so the major axis is 40 units long. The distance between the foci is 30, so the minor axis is 30 units long. Therefore, the equation of the ellipse is $\frac{x^{2}}{400}+\frac{y^{2}}{175}=1$.

Find the Equation of the Ellipse with Vertices At (−20,0)(-20,0)(−20,0) And (20,0)(20,0)(20,0)

Find the Equation of the Ellipse with Vertices At $(-20,0)$ And $(20,0)$