$\"\"$

The equation is $\"\"$ .

Compare the equation with $\"\"$ . \ \

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

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

Now $\"\"$ .

Substitute $\"\"$ .

$\"\"$ .

Directrix: $\"\"$ . \ \

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

$\"\"$

The polar equation represents a hyperbola.

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