Find the equation of the ellipse whose foci are (4, 0) and (- 4, 0), eccentricity = 1/3.
Given that we need to find the equation of the ellipse whose eccentricity is and foci (±4,0).
Let us assume the equation of the ellipse as (a2>b2).
We know that eccentricity(e) =
⇒
⇒
⇒
⇒
We know that foci = (±ae,0)
⇒ ae = 4
⇒
⇒ a = 12
⇒ a2 = 144
⇒
⇒ b2 = 128
The equation of the ellipse is
⇒
∴ The equation of the ellipse is .