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A section of a right circular cone by a plane perpendicular to its axis is

  • A.a circle
  • B.an ellipse of small eccentricity
  • C.a parabola with its axis vertical
  • D.a hyperbola of two separate branches

Answer: A

Cutting square across the axis gives a curve everywhere equidistant from it, which is the limiting case of the ellipse with eccentricity zero. Tilting the plane even slightly away from perpendicular begins at once to stretch it into an ellipse.

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