$\"\"$

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The foci are at $\"\"$ and $\"\"$ .

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The slopes of the asymptotes are $\"\"$ .

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Since the $\"\"$ coordinates of foci are same, the hyperbola has a vertical transverse axis.

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$\"\"$

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The standard form of hyperbola with vertical transverse axis is $\"\"$ .

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Where,

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$\"\"$ ,

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Center : $\"\"$ ,

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Vertices : $\"\"$ ,

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Foci : $\"\"$ ,

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Transverse axis : $\"\"$ ,

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Conjugate axis : $\"\"$ ,

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Eccentricity : $\"\"$ .

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Asymptotes : $\"\"$ .

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$\"\"$

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The center is the mid point of the foci.

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$\"\"$ .

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The slopes of the asymptotes : $\"\"$ .

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So, $\"\"$

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$\"\"$ .

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$\"\"$ .

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Substitute the values $\"\"$ , $\"\"$ , and $\"\"$ in standard form of hyperbola.

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$\"\"$

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$\"\"$ .

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$\"\"$

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