$\"\"$

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The vertices of the hyperbola equation are $\"\"$ .

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The foci of the hyperbola equation are $\"\"$ .

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Here the $\"\"$ co-ordinate are equal, hence transverse axis is along $\"\"$ -axis.

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Hence the vertices and foci are $\"\"$ and $\"\"$ .

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Therefore, $\"\"$ , $\"\"$ and $\"\"$ .

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Find $\"\"$ .

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For an hyperbola: $\"\"$ .

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$\"\"$

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From problem (42):

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The parametric equations for hyperbola equation are $\"\"$ and $\"\"$ .

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

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$\"\"$

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

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$\"\"$

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The parametric equations for hyperbola equation are $\"\"$ and $\"\"$ .

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$\"\"$

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The parametric equations for hyperbola equation are $\"\"$ and $\"\"$ .