Find the equation of the ellipse with vertices of $(0,-18)$ and $(0,18)$ and minor axis of length 30.
A) $\frac{x^{2}}{225}+\frac{y^{2}}{99}=1$
B) $\frac{x^{2}}{225}+\frac{y^{2}}{324}=1$
C) $\frac{x^{2}}{99}+\frac{y^{2}}{225}=1$
D) $\frac{x^{2}}{324}+\frac{y^{2}}{225}=1$

Question

Quizplus · Accepted Answer

The ellipse is vertical with a center at (0,0) and a semi-major axis length of 18. The semi-minor axis length is 15. The equation is $\frac{x^2}{15^2} + \frac{y^2}{18^2} = 1$, which simplifies to $\frac{x^2}{225} + \frac{y^2}{324} = 1$.

Find the Equation of the Ellipse with Vertices Of (0,−18)(0,-18)(0,−18) And (0,18)(0,18)(0,18)

Find the Equation of the Ellipse with Vertices Of $(0,-18)$ And $(0,18)$