Given equation of ellipse is

x2

16

+

y2

9

= 1 Clearly, 16 > 9
The equation of ellipse in standard form is

x2

a2

+

y2

b2

= 1
∴ a2 = 16 ⇒ a = 4 and b2 = 9 ⇒ b = 3
We know that c = √a2−b2 ⇒ c = √16−9 = √7
∴ Coordinates of foci are (±c, 0) i.e. (± √7 , 0)
Coordinates of vertices are (±a, 0) i.e. (±4, 0).
Length of major axis = 2a = 2 × 4 = 8
Length of minor axis = 2b = 2 × 3 = 6
Eccentricity (e) =

c

a

=

√7

4

Length of latus rectum =

2b2

a

=

2×9

4

=

9

2