$\"\"$

\

The polar equation is $\"\"$ .

\

Write the equation in standard form: $\"\"$ .

\

Where $\"\"$ is the eccentricity and $\"\"$ represents the line of directrix.

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$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Compare the above equation with the standard form of polar equation.

\

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

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Since the eccentricity is $\"\"$ , the conic represents a parabola.

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Now $\"\"$ .

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Therefore $\"\"$ .

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The equation of directrix is $\"\"$ .

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$\"\"$

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(b)

\

The polar equation is $\"\"$ .

\

Write the equation in standard form: $\"\"$ .

\

Where $\"\"$ is the eccentricity and $\"\"$ represents the line of directrix.

\

$\"\"$

\

$\"\"$

\

$\"\"$ .

\

Compare the above equation with the standard form of polar equation.

\

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

\

Since the eccentricity is $\"\"$ , the conic represents a hyperbola.

\

Now $\"\"$ .

\

$\"\"$

\

\

The equation of directrix is $\"\"$ .

\

$\"\"$

\

(a)

\

The conic is an parabola.

\

The eccentricity $\"\"$ .

\

The equation of directrixs is $\"\"$ .

\

(b)

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The conic is an hyperbola.

\

The eccentricity $\"\"$ .

\

The equation of directrixs is $\"\"$ .