Step 1:

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

The vertices of the ellipse are $\"\"$ .

Observe the foci and vertices.

y-coordinate are equal and lie on the x-axis, so the ellipse is horizontal and center is at origin.

Ellipse equation :

The standard form of the horizontal ellipse is $\"\"$ .

Where a is the length of the semi major axis, b is the length of the semi minor axis.

Here center of the ellipse is $\"\"$ .

Foci of the ellipse is $\"\"$ .

Vertices of the ellipse are $\"\"$ .

The distance between center and vertex is a.

The distance between center and focus is c.

Eccentricity is $\"\"$

Step 2:

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

The vertices of the ellipse are $\"\"$ .

The distance between center and focus is $\"\"$ .

The distance between center and vertex is $\"\"$ .

Substitute $\"\"$ and $\"\"$ in eccentricity.

$\"\"$

Therefore the eccentricity is $\"\"$ .

Solution :

Eccentricity is $\"\"$ .