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The eccentricity method of drawing a conic requires as data the

  • A.vertex, axis length and one tangent
  • B.asymptotes and one point on the curve
  • C.focus, directrix and eccentricity
  • D.two foci and the length of the major axis

Answer: C

Correct answer: focus, directrix and eccentricity

The eccentricity method constructs the conic directly from its definition as the locus of a point whose distances from the focus and the directrix stand in a fixed ratio. Because that definition covers all four conics, the same construction serves for every one of them, with only the value of the eccentricity changing.

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