$\"\"$

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

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Convert the equation of hyperbola into standard form by completing the squares.

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$\"\"$

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$\"\"$

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$\"\"$ .

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Standard form of the equation of hyperbola with center $\"\"$ is $\"\"$ .

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Here $\"\"$ .

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Compare the equation with standard form.

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$\"\"$

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For an hyperbola: $\"\"$ .

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$\"\"$

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$\"\"$

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Centre: $\"\"$ .

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Foci: $\"\"$ $\"\"$ .

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Vertices: $\"\"$ .

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Asymptotes: $\"\"$ and $\"\"$ .

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$\"\"$ and $\"\"$

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$\"\"$ and $\"\"$ .

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$\"\"$

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Graph:

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Plot the points center: $\"\"$ , Focus: $\"\"$ and Vertices: $\"\"$ .

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Draw the asymptotes $\"\"$ and $\"\"$ .

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Graph the hyperbola $\"\"$ :

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$\"\"$

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$\"\"$

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Centre: $\"\"$ , Focus: $\"\"$ and Vertices: $\"\"$ .

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Graph of the hyperbola and asymptotes is

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$\"\"$