Let P(x, y) be a point on the right-hand branch of the hyperbola x2 /a2 y2 /b2 1. From

Chapter 11, Problem 50

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Let P(x, y) be a point on the right-hand branch of the hyperbola x2 /a2 y2 /b2 1. From P, a line segment is drawn perpendicular to the line x a/e, meeting this line at D. If F2 denotes (as usual) the focus located at (c, 0), show thatF2PPD eThe line x a/e is called the directrix of the hyperbolacorresponding to the focus F2. Hint: Use the expressionfor F2P developed in Exercise 47.

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