$\"\"$

The equation is $\"\"$ .

$\"\"$

Compare the equation with $\"\"$ .

Here $\"\"$ and $\"\"$ .

As $\"\"$ , the conic is a ellipse.

$\"\"$

Now $\"\"$ .

Substitute $\"\"$ .

$\"\"$

So $\"\"$ .

Directrix: $\"\"$ .

Directrix is perpendicular to the polar axis at a distance $\"\"$ left to the pole.

$\"\"$

The polar equation represents an ellipse.

Directrix is perpendicular to the polar axis at a distance $\"\"$ left to the pole.