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Three of the following describe an ellipse. The exception is

  • A.the sum of the focal distances constant
  • B.eccentricity less than one
  • C.a closed curve with two axes of symmetry
  • D.each point equidistant from focus and directrix

Answer: D

Correct answer: each point equidistant from focus and directrix

Equal distances from focus and directrix mean an eccentricity of exactly one, which is the parabola. An ellipse has eccentricity below one, so its focal distance is always less than its directrix distance. The other three statements all describe an ellipse correctly.

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