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What figure results from cutting a cylinder by a plane inclined to its axis but not meeting the bases?

  • A.a circle of larger diameter
  • B.a rectangle of the cylinder's height
  • C.a parabola with its vertex on the axis
  • D.an ellipse

Answer: D

The diameter across the axis of tilt is unchanged while the one along it lengthens, which is precisely the definition of an ellipse. Its minor axis equals the cylinder diameter and its major axis grows as the tilt increases.

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