Q38 of 62 Page 11

Find the equation for the ellipse that satisfies the given conditions: Vertices (0, ± 13) foci (0, ± 5)


Since the vertices are on y-axis the equation will be of the form

where a is the semi-major axis.

Given that a = 13, c = ± 5

Therefore, from the relation

c2 = a2 – b2, we get

25 = 169 – b2

or b2 = 144 or b = 12

Hence, the equation of the ellipse to

= 1.

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