$\"\"$

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

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Since the $\"\"$ -coordinates of the foci are zero, the transverse axis is vertical.

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The standard form of vertical hyperbola is $\"\"$ .

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Asymptotes of hyperbola are $\"\"$ .

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Compare the asymptotes:

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Centre $\"\"$ .

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Slope of the asymptotes $\"\"$ .

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$\"\"$ .

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$\"\"$

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The distance from the origin to either foci is $\"\"$ .

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The value of $\"\"$ [ from the foci ] $\"\"$ .

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From the hyperbola definition: $\"\"$ .

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$\"\"$

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$\"\"$

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

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$\"\"$

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The standard form of the hyperbola is $\"\"$ .