The center of the ellipse is .
The vertex of the ellipse is .
The ellipse contains the point .
Since the -coordinate of center and focus is same, the ellipse is vertical.
The standard form of ellipse is .
where is the center of the ellipse,
is the length of the semi major axis and
is the length of the semi minor axis.
The distance between center and vertex is .
The distance between center and focus is .
The length of major axis is the distance between center and vertex.
\The ellipse contains the point .
Let the point as .
Substitute and
in
.
In ellipse, .
Substitute the values of ,
in
.
Since the equation represents a circle wiht center
and radius
.
The equation of circle is .
Graph the ellipse.
\Graph the equation .
Plot the center point .
Plot the vertex points and
.
Plot the two points above and below the center and
.
.
The equation of ellipse is .
Graph of the ellipse is
\