Given equation of ellipse is

x2

4

+

y2

25

= 1 . Clearly, 25 > 4
The equation of ellipse in standard form is

y2

a2

+

x2

b2

= 1
∴ a2 = 25 ⇒ a = 5 and b2 = 4 ⇒ b = 2
We know that c = √a2−b2 ⇒ c = √25−4 = √21
∴ Coordinates of foci are (0, ± c) i.e. (0, ± √21)
Coordinates of vertices are (0, ± a) i.e. (0, ± 5).
Length of major axis = 2a = 2 × 5 = 10
Length of minor axis = 2b = 2 × 2 = 4
Eccentricity (e) =

c

a

=

√21

5

Length of latus rectum =

2b2

a

=

2×4

5

=

8

5