Find the equation for the ellipse that satisfies the given conditions Length of major axis 26, foci (±5, 0)

Asked by Sakshi | 1 year ago |  58

##### Solution :-

Given:

Length of major axis is 26 and foci (±5, 0)

Since the foci are on the x-axis, the major axis is along the x-axis.

Then, 2a = 26

a = 13 and c = 5.

It is known that a2 = b+ c2.

132 = b2+52

169 = b2 + 25

b2 = 169 – 25

b =$$\sqrt{144}$$

= 12

The equation of the ellipse is $$\dfrac{ x^2}{13^2} +\dfrac{ y^2}{12^2} = 1$$

Answered by Aaryan | 1 year ago

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