$\"\"$

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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 3.

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$\"\"$

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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 $\"\"$ , conic is hyperboola.

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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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$\"\"$

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

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$\"\"$

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

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

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

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(d)

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Graph:

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Graph the ellipse $\"\"$ . \ \

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

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Draw the directrix line $\"\"$ .

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$\"\"$

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$\"\"$

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(a) Eccentricity of the conic is $\"\"$ .

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(b) Conic is hyperbola.

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

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

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$\"\"$ .