Divide both sides by 600
x2/25 – y2/24 = 1
Given equation is of the form x2/a2 – y2/b2 = 1
On comparing given equation with (1), we get
a = 5 and b = 2√6
Then,
c2 = a2 + b2
c2 = 25 + 24 = 49
or c = 7
Now,
(i) Lengths of the axes:
Length of Transverse axis = 2a = 10 units
Length of Conjugate axis = 2b = 4√6 units
(ii) Coordinates of the vertices: (±a, 0) = (±5, 0)
(iii) Coordinates of the foci: (±c, 0) = (±7, 0)
(iv) Eccentricity: e = c/a = 7/5
(v) Length of the latus rectum: 2b2/a = 48/5 units