Prove that if a b 0 and c a 2 b 2 , then a point P (x, y) on the ellipse satisfies PF ePD with F (c, 0), e c a, and vertical directrix D at x a e b 1

Question: Prove that if a > b > 0 and c =a 2 b 2 , then a point P = (x, y) on the

Prove that if a > b > 0 and c =√a²− b², then a point P = (x, y) on the ellipse + b. = 1 satisfies PF = ePD with F = (c, 0), e = c/a, and vertical directrix D at x = a/e.

+ b. = 1

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