$\"\"$

The conic equation is $\"\"$ where $\"\"$ .

$\"\"$

Find $\"\"$ and $\"\"$ using rotational formula.

$\"\"$ .

Substitute $\"\"$ in the above equation.

$\"\"$

$\"\"$ .

$\"\"$

$\"\"$ .

Substitute $\"\"$ in equation (1).

$\"\"$

The equation of the conic in the $\"\"$ -plane is $\"\"$ .

$\"\"$

The equation of the conic in the $\"\"$ -plane is $\"\"$ .