Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the - Maths - Conic Sections

Question

Find the coordinates of the foci, the vertices, the length of
major axis, the minor axis, the eccentricity and the length of the
latus rectum of the ellipse

Gopal Mohanty · Accepted Answer

The given equation is

Here, the denominator of

is greater than the denominator of

Therefore, the major axis is along the x-axis, while the minor axis is along the y-axis On comparing the given equation with

, we obtain a = 4 and b = 3

Therefore, The coordinates of the foci are

The coordinates of the vertices are

Length of major axis = 2a = 8 Length of minor axis = 2b = 6

Length of latus rectum

Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the length of the latus rectum of the ellipse