(i)
and
Given:
Eccentricity
Now let us find the equation to the ellipse.
We know that the equation of the ellipse whose axes are x and y – axis is given as
By using the formula,
Eccentricity:
It is given that foci
Where,
Or,
We know
So,
So the equation of the ellipse can be given as
∴ The equation of the ellipse is
(ii) eccentricity
and length of latus rectum
Given:
Eccentricity
Length of latus – rectum
Now let us find the equation to the ellipse.
We know that the equation of the ellipse whose axes are x and y – axis is given as
By using the formula,
Eccentricity:
By using the formula, length of the latus rectum is
So the equation of the ellipse can be given as
∴ The equation of the ellipse is