Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity e, then P F1 + P F2 is equal to e times the distance between the directrices.
Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity e, then P F1 + P F2 is equal to e times the distance between the directrices.
Chapter4: Rational Functions And Conics
Section4.3: Conics
Problem 98E
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Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity e, then P F1 + P F2 is equal to e times the distance between the directrices.
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