Given equation of ellipse is

x2

49

+

y2

36

= 1
Clearly, 49 > 36
The equation of ellipse in standard form is

x2

a2

+

y2

b2

= 1
∴ a2 = 49 ⇒ a = 7 and b2 = 36 ⇒ b = 6
We know that c = √a2−c2 , c = √49−36 = √13
∴ Coordinates of foci are (±c, 0) i.e. (± √13, 0)
Coordinates of vertices are (±a, 0) i.e. (±7, 0).
Length of major axis = 2a = 2 × 7 = 14
Length of minor axis = 2b = 2 × 6 = 12
Eccentricity (e) =

c

a

=

√13

7

Length of latus rectum =

2b2

a

=

2×36

7

=

72

7