Question

14. An ellipse has a vertex at (1,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in standard form?

Answer 1

a=4, b=1

The equation of the ellipse is:

`\begin{gathered} (x^2)/(a^2)\text{ + }(y^2)/(b^2)\text{ = 1} \\ \\ (x^2)/(4^2)+(y^2)/(1^2)=1 \\ (x^2)/(16)+(y^2)/(1)=1 \end{gathered}`