$\"\"$

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

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The general form of a conic equation is $\"\"$ .

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Compare $\"\"$ with general conic equation.

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

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Find $\"\"$ .

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$\"\"$

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The conic is hyperbola.

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$\"\"$

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The angle is $\"\"$ .

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Substitute $\"\"$ $\"\"$ , $\"\"$ and $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Find equations for $\"\"$ and $\"\"$ .

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

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Substitute $\"\"$ .

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

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

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

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Substitute $\"\"$ and $\"\"$ in $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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