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Q45 of 62 Page 11

Find the equation for the ellipse that satisfies the given conditions: b = 3, c = 4, centre at the origin; foci on a x axis.

Since foci are on the x-axis, the equation will be of the form

= 1

Given that b = 3, c = 4

Therefore c² = a² – b²

or 16 = a² – 9 ⇒ a² = 25

or a = 5

Hence, the equation of the ellipse is

= 1.

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