Question

49. An ellipse is in the vertical position with vertices (0,5). The semi-minor axis length is 3. The equation describing this is:a. 92+52=152b. 92+52=15c. 92−52=152d. 52+92=152e. 2+2=1 25 9

Answer 1

SOLUTION

Equation of an elipse is given by the formula

$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$

where a is the vertical position and b is the horizontal axis.

So from the question, a = 5 and b = 3.

The equation becomes

$\begin{gathered} \frac{x^2}{3^2}+\frac{y^2}{5^2}^{}=1 \\ \\ \text{That becomes } \\ \\ \frac{x^2}{9^{}}+\frac{y^2}{25^{}}^{}=1 \end{gathered}$

We can see this on the graph below