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An ellipse that has its center at the origin, its semi-major axis along the x-axis, and passes through...........Find k.

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An ellipse that has its center at the origin, its semi-major axis along the x-axis, and passes through the point (6, 4) shares the same orthoptic circle as a hyperbola that has its semi-major axis along the x-axis and passes through the point (17, 16/3).
If both semi-major axes are integers and have a 2/3 ratio, then the area of the orthoptic circle is kπ.
Find k.

posted Nov 20, 2019 by Mishthy Mukherjee

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