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.
16x² + y² = 16.

or = 1

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

= 1

we have b = 1 and a = 4

Also, e = =

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

The length of latus rectum = = = .