Q43 of 62 Page 11

Find the equation for the ellipse that satisfies the given conditions: Length of minor axis 16, foci(0, +6)


Since the foci are on the y-axis, the major axis will be on y-axis. The equation will be of the form

= 1

Given 2b = 16 or b = 8 and c = 16

We know that c2 = a2 – b2 or 36 – a2 – 64

or a2 = 100 or a = 10

Hence, the equation of the ellipse is

= 1.

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