$\"\"$

If point $\"\"$ , then $\"\"$ and $\"\"$ .

$\"\"$

Observe the diagram:

The parametric equations are $\"\"$ and $\"\"$ .

Consider $\"\"$ .

$\"\"$

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

$\"\"$

$\"\"$ .

The equation is in the form of ellipse equation with center $\"\"$ and major axis is $\"\"$ and minor axis is $\"\"$ .

$\"\"$

The parametric equations are $\"\"$ and $\"\"$ .

The ellipse equation is $\"\"$ .