Given equation of ellipse is 16x2+y2 = 16
i.e.,

16x2

16

+

y2

16

= 1 ⇒

x2

1

+

y2

16

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

y2

a2

+

x2

b2

= 1
∴ a2 = 16 ⇒ a = 4 and b2 = 1 ⇒ b = 1
We know that c = √a2−b2 ⇒ c = √16−1 = √15
∴ Coordinates of foci are (0, ±c)
i.e. (0, ± √15)
Coordinates of vertices are (0, ± a) i.e. (0, ± 4).
Length of major axis = 2a = 2 × 4 = 8
Length of minor axis = 2b = 2 × 1 = 2
Eccentricity (e) =

c

a

=

√15

4

Length of latus rectum =

2b2

a

=

2×1

4

=

1

2