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=a2−b2∴(3)2=(4)2−b2⇒b2=16−9=7 Thus equation of required ellipse is, x216+y27=1.

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