$\"\"$

The polar equation is $\"\"$ .

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

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

Write the equation in standard form.

$\"\"$

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

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

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

Now $\"\"$ .

Therefore $\"\"$ .

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

$\"\"$

The equation is an ellipse.

The eccentricity $\"\"$ .

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