2. Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse.
Given
The equation of the ellipse
As we can see from the equation, the major axis is along Y-axis and the minor axis is along X-axis.
On comparing the given equation with the standard equation of such ellipse, which is
We get
and .
So,
Hence,
Coordinates of the foci:
The vertices:
The length of the major axis:
The length of minor axis:
The eccentricity :
The length of the latus rectum: