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.
4x² + 9y² = 36.

⇒

Since the denominator of x² > denominator of y², the major axis is along the x-axis. Comparing the given equation with the standard equation

we have a = 3 and b = 2

Also, c =

And e = =

Hence the foci, (c, 0) and (-c, 0) are ( and (-; vertices (a, 0) and (-a, 0) are (3, 0) and (-3, 0); the length of the major axis, 2a is 6 units, the length of the minor axis, 2b is 4 units and the eccentricity of the ellipse, e is .

The length of latus rectum = = units.