Question -
Answer -
Given:
Foci are (4, 0) (- 4, 0)
Eccentricity = 1/3.
Now let us find the equation to the ellipse.
We know that the equation of the ellipse whose axes are xand y тАУ axis is given as
By using the formula,
Eccentricity:
It is given that foci = (4, 0) (- 4, 0) => foci = (┬▒ae,0)
Where, ae = 4
a(1/3) = 4
a = 12
a2┬а= 144
By substituting the value of a2, we get
b2┬а= 8a2/9
b2┬а= 8(144)/9
= 128
So the equation of the ellipse can be given as
