Solved: Prove that the tangent line to an ellipse at a point makes equal angles with
Chapter 10, Problem 110(choose chapter or problem)
Prove that the tangent line to an ellipse at a point makes equal angles with lines through and the foci (see figure). [Hint: (1) Find the slope of the tangent line at (2) find the slopes of the lines through and each focus, and (3) use the formula for the tangent of the angle between two lines.]
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