Divide each side by 16, we get
x2/1 + y2/16 = 1
Which is of the form x2/b2 + y2/a2 = 1
For general form of ellipse:
x2/b2 + y2/a2 = 1 ….(1)
On comparing given equation with (1), we get
a = 4 and b = 1
Then,
c2 = a2 – b2
c2 = 16 – 1 = 15
or c = √15
Now,
(i) Lengths of major and minor axes:
Major axis: 2a = 8 units
Minor axis : 2b = 2 units
(ii) Coordinates of the vertices: (0, ±a) = (0, ±4)
(iii) Coordinates of the foci: (0, ±c) = (0, ±√15)
(iv) Eccentricity: e = c/a = √15/4
(v) Length of the latus rectum: 2b2/a = 1/2 units