Q42 of 62 Page 11

Find the equation for the ellipse that satisfies the given conditions: Length of major axis 26, foci( ± , 0)


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

= 1

Given, 2a = 26 or a = 13 and c = ± 5

We know that c2 = a2 – b2 or 25 – 169 – b2

or

Hence, the equation of the ellipse is

= 1.

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