$\"\"$

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Vertices: $\"\"$ and $\"\"$ .

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

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Since the $\"\"$ -coordinates of the vertices are same, it is horizontal.

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The standard form of horizontal ellipse is $\"\"$ .

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Where $\"\"$ , $\"\"$ ,

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$\"\"$ : length of semi minor axis,

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$\"\"$ : length of semi major axis,

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Center : $\"\"$ ,

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Foci : $\"\"$ ,

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Vertices : $\"\"$ ,

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Co-vertices : $\"\"$ ,

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Major axis : $\"\"$ ,

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Minor axis : $\"\"$ .

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$\"\"$

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The center of the ellipse is the midpoint point of the vertices.

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$\"\"$ .

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The distance between the vertices is equals to $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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The distance between the foci is equals to $\"\"$ .

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$\"\"$

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$\"\"$ .

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Consider $\"\"$ .

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$\"\"$

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$\"\"$

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$\"\"$ .

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$\"\"$

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Substitute the values $\"\"$ , $\"\"$ and $\"\"$ in $\"\"$ . $\"\"$

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$\"\"$ .

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$\"\"$

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The ellipse equation is $\"\"$ .