$\"\"$ \ \

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

$\"\"$ \ \

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

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

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

$\"\"$ \ \

$\"\"$ . \ \

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

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

$\"\"$ \ \

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

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

\ \

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

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

The vertices of the equation are at $\"\"$ and $\"\"$ . \ \

Therefore,the vertices are $\"\"$ and $\"\"$ . \ \

The center of the equation is the mid point of the vertices. \ \

Graph: \ \

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

(2) Plot the points. \ \

(3) Connect the points to a smooth curve. \ \

$\"\"$ \ \

\ \

$\"\"$ \ \

The conic is ellipse. \ \

The directrix is parallel to the polar axis at a distance $\"\"$ above the pole. \ \

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

$\"\"$ .