$\"\"$

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From given problem,

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

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The standard form of an ellipse is $\"\"$ and area of ellipses is $\"\"$ .

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Substitute $\"\"$ in area of the ellipses formula.

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$\"\"$

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$\"\"$

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$\"\"$

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Substitutes $\"\"$ in equation $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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$\"\"$

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

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$\"\"$

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

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$\"\"$

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$\"\"$ .

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$\"\"$

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$\"\"$

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The point $\"\"$ values are $\"\"$ and $\"\"$ .

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General form of the ellipse is $\"\"$ where $\"\"$ .

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So $\"\"$ fails the condition of ellipse.

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Substitutes $\"\"$ and $\"\"$ in standard equation of ellipse formula.

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

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$\"\"$

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$\"\"$ .

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

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$\"\"$

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