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

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

Prove that if a, b > 0 and c =√a²+ b², then a point P = (x, y) on the hyperbola 2 (E)` (B) - a b. = 1 satisfies PF = ePD with F = (c, 0), e = c/a, and vertical directrix D at x = a/e
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2 (E)` (B) - a b. = 1

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