$\"\"$

\

The foci of ellipse are $\"\"$ .

\

The length of major axis is $\"\"$ .

\

The standard form of a ellipse is $\"\"$ .

\

Where $\"\"$ is the center of ellipse.

\

$\"\"$ is the length of the semi major axis and $\"\"$ is the length of the semi minor axis.

\

Since the $\"\"$ - coordinate of foci is constant, the ellipse is horizontal.

\

The length of major axis is $\"\"$ .

\

$\"\"$

\

The center is midpoint of foci $\"\"$ .

\

center is $\"\"$ .

\

$\"\"$

\

The distance from the center to one of the foci is $\"\"$ .

\

The distance between $\"\"$ and $\"\"$ is,

\

$\"\"$

\

For ellipse $\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in $\"\"$ .

\

$\"\"$

\

Substitute $\"\"$ , $\"\"$ , and $\"\"$ in standard form of ellipse.

\

$\"\"$

\

The ellipse equation is $\"\"$ . $\"\"$

\

The ellipse equation is $\"\"$ .