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A cone is cut by a plane parallel to one of its generators. The section obtained is

  • A.a circle of reduced diameter
  • B.a parabola
  • C.an ellipse of high eccentricity
  • D.a hyperbola of two branches

Answer: B

Correct answer: a parabola

The conic obtained depends on how the cutting plane’s inclination compares with a generator. Less steep gives an ellipse, steeper gives a hyperbola, and exactly parallel to a generator gives the parabola - the transitional case, and the only one whose curve does not close.

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