The given equation is x225+y2100=1 or x252+y2102=1
Here, the denominator of y2100 is greater than the denominator of x225.
Therefore the major axis is along the y-axis while the minor axis is along the x-axis.
On comparing the given equation with x2b2+y2a2=1 we obtain b=5 and a=10
∴ae=c=√a2−b2=√100−25=√75=5√3
The coordinates of the foci are (0,±5√3)
The coordinates of the vertices are (0,±10)
Length of major axis =2a=20
Length of minor axis =2b=10
Eccentricity e= ca=5√310=√32
Length of latus rectum = 2b2a=2×2510=5