\"\"

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The discriminant is \"\".

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The general form of the conic equation is \"\".

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Identify the conic section using the discriminant of \"\".

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If a circle \"\"; \"\" and \"\".

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If an ellipse  \"\"; either \"\" and \"\".

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If a hyperbola \"\".

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If an parabola  \"\".

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Here \"\".

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Substitute the values in the equation \"\".

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\"\"

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The discriminant is less than \"\", so the conic must be either a circle or an ellicpse.

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Because \"\" the conic is an circle.

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\"\"

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The conic is an circle.