$\"\"$

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The conic equation is $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$ .

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The conic equation is in the form of hyperbola.

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The general form of hyperbola is $\"\"$ .

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Where the hyperbola is transverse about $\"\"$ -axis and $\"\"$ is the center.

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$\"\"$ is the distance between center and vertex.

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$\"\"$ is the distance between center and focus and $\"\"$ .

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The vertices of the hyperbola is $\"\"$ .

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The foci of the hyperbola is $\"\"$ .

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Asymptotes of the hyperbola are $\"\"$ .

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$\"\"$

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The hyperbola equation is $\"\"$ .

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Compare the equation with standard form.

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Center of the hyperbola is $\"\"$ , $\"\"$ and $\"\"$ .

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In hyperbola $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The vertices of the hyperbola is $\"\"$ .

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$\"\"$

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The vertices of the hyperbola are $\"\"$ and $\"\"$ .

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The foci of the hyperbola is $\"\"$ .

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$\"\"$

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The foci of the hyperbola are $\"\"$ and $\"\"$ .

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Asymptotes of the hyperbola are $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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Form the rectangle with points $\"\"$ and $\"\"$ .

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$\"\"$ are the vertices points.

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Find $\"\"$ .

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

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Graph:

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Graph of the hyperbola is

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$\"\"$

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$\"\"$

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Center of the hyperbola is $\"\"$ .

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The hyperbola is transverse about $\"\"$ -axis.

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The vertices of the hyperbola are $\"\"$ and $\"\"$ .

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The foci of the hyperbola are $\"\"$ and $\"\"$ .

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$\"\"$ .

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Graph of the hyperbola is

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$\"\"$ .