Divide each side by 36, we get
x2/4 + y2/36 = 1
Which is of the form x2/b2 + y2/a2 = 1
For general form of ellipse:
x2/b2 + y2/a2 = 1 ….(1)
![](https://www.sarthaks.com/?qa=blob&qa_blobid=3210875593633337023)
On comparing given equation with (1), we get
a = 6 and b = 2
Then,
c2 = a2 – b2
c2 = 36 – 4 = 32
or c = 4√2
Now,
(i) Lengths of major and minor axes:
Major axis: 2a = 12 units
Minor axis : 2b = 4 units
(ii) Coordinates of the vertices: (0, ±a) = (0, ±6)
(iii) Coordinates of the foci: (0, ±c) = (0, ±4√2)
(iv) Eccentricity: e = c/a = 2√2/3
(v) Length of the latus rectum: 2b2/a = 4/3 units