$\"\"$

\

The conic equation is $\"\"$ and angle of rotation is $\"\"$ .

\

Conic equation : $\"\"$ .

\

Rotational formula : $\"\"$ and $\"\"$ .

\

Substitute $\"\"$ in rotational formulas.

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ in rotational formulas.

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Substitute $\"\"$ and $\"\"$ in the conic equation.

\

$\"\"$

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

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

\

$\"\"$

\

Graph :

\

Graph of the function is $\"\"$ .

\

$\"\"$

\

$\"\"$

\

Graph of the function is $\"\"$ .

\

$\"\"$