$\"\"$

The equation is $\"\"$ .

Divide the numerator and denominator by $\"\"$ .

$\"\"$

$\"\"$ .

Compare this polar equation with standard form $\"\"$ .

Where $\"\"$ and $\"\"$ .

Substitute $\"\"$ in $\"\"$ .

$\"\"$

Since $\"\"$ , so the conic is ellipse.

Directrix is perpendicular to the polar axis at a distance 6 units left of the pole.

The directrix is $\"\"$ . $\"\"$

Construct a table for different values of $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \
\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \	\ $\"\"$ \

The vertices are at $\"\"$ and $\"\"$ .

Graph: \ \

(1) Graph the polar co-ordinates. \ \

(2) Plot the points. \ \

(3) Connect the points to a smooth curve.

(4) The directrix is $\"\"$ .

$\"\"$

$\"\"$ \ \

The conic is an ellipse, vertices at $\"\"$ and $\"\"$ .

$\"\"$