$\"\"$

The equation is $\"\"$ .

$\"\"$

Compare the equation with $\"\"$ .

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

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

$\"\"$

Now $\"\"$ .

Substitute $\"\"$ .

$\"\"$

So $\"\"$ .

Directrix: $\"\"$ . \ \

Directrix is parallel to the polar axis at a distance $\"\"$ below the pole.

$\"\"$

The polar equation represents a hyperbola.

Directrix is parallel to the polar axis at a distance $\"\"$ below the pole.