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Hyperbola

Source: 1999 National High School Mathematics League, Exam One, Problem 10

March 10, 2020
conicshyperbola

Problem Statement

PP is a point on hyperbola x216−y29=1\frac{x^2}{16}-\frac{y^2}{9}=1, if the distance from PP to right directrix is the arithmetic mean of the distance from PP to two focal points, then the xx-axis of PP is________.
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