Mathematics

Mathematics

Problem

A shifted ellipse has its center at C(2,3)C(2, 3), semi-major axis of length 44 ∥\parallel the xx -axis, and semi-minor axis of length 22. The auxiliary circle is drawn centered at CC. If a point QQ on the auxiliary circle has coordinates (2+22,3+22)(2 + 2\sqrt{2}, 3 + 2\sqrt{2}), find the coordinates of the corresponding point PP on the ellipse.

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