Divide both sides by 400
16/400 x2 + 25/400 y2 = 1
or x2/25 + y2/16 = 1
For general form of ellipse:
x2/a2 + y2/b2 = 1 ….(1)
On comparing given equation with (1), we get
a = 5 and b = 4
Then,
c2 = a2 – b2
c2 = 25 – 16 = 9
or c = 3
Now,
(i) Lengths of major and minor axes:
Major axis: 2a = 10 units
Minor axis : 2b = 8 units
(ii) Coordinates of the vertices: (±a, 0) = (±5, 0)
(iii) Coordinates of the foci: (±c, 0) = (±3, 0)
(iv) Eccentricity: e = c/a = 3/5
(v) Length of the latus rectum: 2b2/a = 2(4)2/5 = 32/5 units