Given equation of ellipse is
x216+y29=1
On comparing the given equation with x2a2+y2b2=1, we get
a=4,b=3
Since, a>b ,therefore the major axis is along the x-axis while the minor axis is along the y-axis.
Length of major axis =2a=8
Length of minor axis =2b=6
Eccentricity e=√1−b2a2=√16−916==√74
Coordinates of the foci are (√7,0) and (−√7,0)
The coordinates of the vertices are (4,0) and (−4,0)
Length of latus rectum = 2b2a=2×94=92