$\"\"$

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The standard form of hyperbola with horizontal 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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Let the center of the hyperbola is $\"\"$ .

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The distance between the foci of a hyperbola is equal to $\"\"$ .

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The length of the transverse axis is equal to $\"\"$ .

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So, if the distance between the foci is twice the length of the transverse axis, $\"\"$ or $\"\"$ .

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

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$\"\"$

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Let $\"\"$ .

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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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One equation for a hyperbola in which the distance between the foci is twice the length of the transverse axis is $\"\"$ .