In this case, coefficient of y^2 > coefficient of x^2
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 = 5 and b = 2
Then,
c2 = a2 – b2
c2 = 25 – 4 = 21
or c = √21
Now,
(i) Lengths of major and minor axes:
Major axis: 2a = 10 units
Minor axis : 2b = 4 units
(ii) Coordinates of the vertices: (0, ±a) = (0, ±5)
(iii) Coordinates of the foci: (0, ±c) = (0, ±√21)
(iv) Eccentricity: e = c/a = √21/5
(v) Length of the latus rectum: 2b2/a = 8/5 units