The foci are and
.
Let and
.
Since the - coordinates of the foci is same, the ellipse is a verical ellipse.
The standard form of the equation of ellipse with the major axis is
\vertical is.
Where is the length of the semi major axis and
is the length of the semi
minor axis.
\The length of the major axis is .
The center of the ellipse is the mid point of foci.
\The center of the ellipse is .
The distance from center to one of the foci is .
The foci is lie on the major axis, units from the center is,
Substitute ,
and
in
.
The equation of the ellipse is
The equation of the ellipse is