Find the coordinates of the foci, the vertices, the length of major and minor axes, the eccentricity and the length of the latus rectum of the ellipse 4 x 2 + 9 y 2 = 36
Thegiven equation is 4x2+ 9y2= 36.
It can bewritten as
Here,the denominator of 
isgreater than the denominator of
.
Therefore,the major axis is along the x-axis,while the minor axis is along the y-axis.
Oncomparing the given equation with
,we obtain a =3 and b =2.
Therefore,
Thecoordinates of the foci are
.
Thecoordinates of the vertices are (±3,0).
Lengthof major axis = 2a= 6
Lengthof minor axis = 2b= 4
Lengthof latus rectum