$\"\"$

The polar equation of the conic is $\"\"$ .

(a)

The standard form of the polar equation $\"\"$ .

$\"\"$

Take out $\"\"$ common from the denominator.

$\"\"$

$\"\"$ .

Compare $\"\"$ with standard form.

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

The eccentricity of the conic equation is $\"\"$ .

$\"\"$

(b) The eccentricity of the conic $\"\"$ .

As eccentricity $\"\"$ , the conic equation is a ellipse.

$\"\"$

(c)

The ellipse equation is $\"\"$ .

The directrix is parallel to the polar axis $\"\"$ .

The value in the numerator is $\"\"$ .

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

$\"\"$

The directrix of the ellipse is $\"\"$ .

$\"\"$

(d)

The polar equation is $\"\"$ .

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

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

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

Graph:

(1) Graph the polar co-ordinates.

(2) Plot the points.

(3) Connect the points to a smooth curve.

$\"\"$ .

$\"\"$

(a) The eccentricity of the conic equation is $\"\"$ .

(b) The equation $\"\"$ represents an ellipse.

(c) The directrix of the ellipse is $\"\"$ .

(d) Graph of the equation $\"\"$ .

$\"\"$ .