Q33 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


The given equation is = 1

Here, denominator of x2 < denominator of y2

The foci of the of ellipse are on the y –axis.

Let b2 = 100 and a2 = 400

⇒ b =10 and a = 20

Also c = = = = 10 and e = .

Hence, the foci (0, c) and (0, -c) are (0, 10 and (0, -10, the vertices (0, a) and

(0, -a) are (0, 20) and (0, -20), the length of the major axis 2a is 40 units, the length of the minor axis 2b is 20 units and eccentricity of the ellipse is The length of latus rectum is = 10 units.

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