Q28 of 62 Page 11

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. = 1


Since denominator of x2 is larger than the donominator of y2, the major axis is along the x-axis. Comparing the given equation with = 1.

We get a = 6 and b = 4

Also = =

Therefore, the coordinates of foci, (-c, 0) and (c, 0) are and , Vertices, (-a, 0) and (-6, 0) and (6, 0). Length of the major axis, 2a is 12 units.

The length of the mirror axis, 2b is 8 units and eccentricity, e = is = .

The length of latus rectum = = units.

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