e of the 4 points of intersection, as shown in the diagram. Let x be the length of P F1 and y the length of P F2. Considering P as a point on the circle, show that x2+ y2 =4a2e2 (b) By considering P as a point on the ellipse, find another relationship between x and y.  (c) Using your answers to parts (a) and (b) show that x = a ± a square root all of 2e2 − 1.

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