$\"\"$

The polar equation is $\"\"$ . $\"\"$

Write the equation in standard form: $\"\"$ .

Where $\"\"$ is the eccentricity and $\"\"$ represents the line of directrix.

$\"\"$

Compare the above equation with the standard form of polar equation.

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

Since the eccentricity is $\"\"$ , the conic represents a hyperbola.

Now $\"\"$ .

Therefore $\"\"$ .

The equation of directrix is $\"\"$ .

$\"\"$

The equation is an hyperbola.

The eccentricity $\"\"$ .

The directrixs is $\"\"$ .