The equation of the ellipse is $\"\"$ .

Rewrite the ellipse equation.

$\"\"$

Find the points lies on the ellipse.

Consider the point be $\"\"$ and it is farthest away from the point $\"\"$ .

The distanc between the points $\"\"$ and $\"\"$ is

$\"\"$

Substitute $\"\"$ in above expression.

$\"\"$

The diatance is far away from the point $\"\"$ when its first derivative becomes zero.

Apply derivative on each side with respect to $\"\"$ .

$\"\"$

$\"\"$ .

Equate $\"\"$ to zero.

$\"\"$

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Therefore the point lies on the ellipse which is far away from $\"\"$ is $\"\"$ .

The point lies on the ellipse which is far away from $\"\"$ is $\"\"$ .