Question
Asked Dec 24, 2019
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For Exercise, write the standard form of an equation of an ellipse subject to the given conditions. 

Major axis parallel to the y-axis; Center: (1, 5);

Length of major axis: 22 units;

Length of minor axis: 14 units.

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Step 1
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Major axis is parallel to the y-axis. Thus, the ellipse is vertical ellipse (x-h)' , (y-k)² The equation of the vertical ellipse is given by

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Step 2
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Center of the ellipse is (h,k) =(1,5). The length of the major axis is 2a and the length of the minor axis is 2b Given that the length of the major axis is 22 units. Thus, a = 11. The length of the minor axis is 14 units. Thus, b = 7.

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