$\"\"$

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

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(a)

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

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$\"\"$

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

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$\"\"$ .

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Compare $\"\"$ with standard form.

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

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$\"\"$

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(b)

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As $\"\"$ , conic of the function is parabola.

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

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$\"\"$

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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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Vertices occur when $\"\"$ and $\"\"$ .

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When $\"\"$ then $\"\"$ .

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When $\"\"$ then $\"\"$ .

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The vertices at the points $\"\"$ and $\"\"$ .

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Graph:

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Graph the ellipse $\"\"$ :

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Plot the points $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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(a) The eccentricity is $\"\"$ .

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(b) Conic is parabola.

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

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

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$\"\"$ .