For general form of ellipse:
x2/a2 + y2/b2 = 1 ….(1)
On comparing given equation with (1), we get
a = 7 and b = 6
Then,
c2 = a2 – b2
c2 = 49 – 36 = 13
or c = √13
Now,
(i) Lengths of major and minor axes:
Major axis: 2a = 14 units
Minor axis : 2b = 12 units
(ii) Coordinates of the vertices: (±a, 0) = (±7, 0)
(iii) Coordinates of the foci: (±c, 0) = (±√13, 0)
(iv) Eccentricity: e = c/a = √13/7
(v) Length of the latus rectum: 2b2/a = 2(6)2/7 = 72/7 units