Find the equation of the ellipse that satisfies the given conditions: Foci `(pm3,0),a=4`

Explanation

Here, `a=4rArra^(2)=16`
Foci `-=(pm3,0)` are on x-axis
`:.` The major axis will be along x-axis.
Now, ae=3
and `b^(2)=a^(2)(1-e^(2))`
`=a^(2)-a^(2)e^(2)=4^(2)-3^(2)=7`
`:.` Equation of ellipse
`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1rArr(x^(2))/(16)+(y^(2))/(7)=1`