$\"\"$

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

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Since $\"\"$ -coordinates of the vertices are same the transverse axis of the hyperbola is horizontal.

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Standard form of horizontal hyperbola is $\"\"$ .

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The center of the hyperbola is mid point of vertices $\"\"$ and $\"\"$ .

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

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The value of $\"\"$ is the distance from each vertex to center.

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Distance between one of the vertices $\"\"$ to the center $\"\"$ is $\"\"$ .

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$\"\"$

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$\"\"$ .

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$\"\"$

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

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The asymptotes of the horizontal hyperbola are $\"\"$ .

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Slope of the asymptote is $\"\"$ .

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Positive slope of the asymptote is $\"\"$ .

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Substitute $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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$\"\"$ .

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Thus, equation of hyperbola is $\"\"$ .

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$\"\"$

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Equation of hyperbola is $\"\"$ .