Determine the equation of an ellipse if the centre of the ellipse is at the origin and foci are(+-8,0) , vertices (0,+-8)

aruv | Student

Centre =(0,0)

Foci= `(+-8,0)`

Vertices =`(0,+-8)`

Let foci of the ellipse be `(+-ae,0)`


ae=8     (i)

But  we know `b^2=a^2(1-e^2)`, where b and a are respectively semi minor and major axis.




So required equation of the ellipse is