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Question

Find the equation for the ellipse that satisfies the given conditions,
Foci (±3,0)a=4

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Solution

The foci (±3,0) lie on x - axis.
So the equation of ellipse in standard form is,
x2a2+y2b2=1
Now foci(±c,0)is (±3,0)c=3We know that c2=a2b2(3)2=(4)2b2b2=169=7
Thus equation of required ellipse is,
x216+y27=1.


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