$\"\"$

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

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(a)

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$\"\"$

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

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$\"\"$ .

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The equation is of the form $\"\"$ .

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Compare the equations, eccentricity $\"\"$ and $\"\"$ .

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Eccentricity of the conic is $\"\"$ .

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$\"\"$

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(b)

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

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$\"\"$

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(c)

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Directrix of the conic $\"\"$ is $\"\"$ .

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

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Substitute $\"\"$ .

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$\"\"$

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Directrix of the conic $\"\"$ is $\"\"$ .

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$\"\"$

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(d)

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

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

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

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Graph:

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Plot the points.

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Connect the points to a smooth curve.

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Graph the ellipse $\"\"$ :

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$\"\"$

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$\"\"$

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(a) $\"\"$

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(b) Conic is ellipse.

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(c) Equation of the directrix is $\"\"$ .

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(d) Graph of the ellipse $\"\"$ is

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$\"\"$ .