Given equation is of the form y2/a2 – x2/b2 = 1
On comparing given equation with (2), we get
a = 4 and b = 7
Then,
c2 = a2 + b2
c2 = 16 + 49 = 65
or c = √65
Now,
(i) Lengths of the axes:
Length of Transverse axis = 2a = 8 units
Length of Conjugate axis = 2b = 14 units
(ii) Coordinates of the vertices: (0, ±a) = (0, ±4)
(iii) Coordinates of the foci: (0, ±c) = (0, ±√65)
(iv) Eccentricity: e = c/a = √65/4
(v) Length of the latus rectum: 2b2/a = 49/2 units