Q. 1

# In each of the, 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.

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 =1, we obtain a =6 and b =4.

Therefore,

The coordinates of the foci are (2, 0) and (-6, 0).

The coordinates of the vertices are (6, 0) and (-6, 0)

Length of major axis = 2a =12

Length of minor axis = 2b =8

Eccentricity, e

Length of latus rectum =

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PREVIOUSIn each of the, find the equation of the parabola that satisfies the given conditions:Vertex (0, 0), passing through (5, 2) and symmetric with respect to y-axis.NEXTIn each of the, 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.

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