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What figure results from cutting a cylinder by a plane perpendicular to its axis?

  • A.a rectangle as wide as the diameter
  • B.a parabola open toward the base
  • C.a circle equal to the base
  • D.an ellipse of small eccentricity

Answer: C

A plane square across the axis meets the curved surface everywhere at the same distance from it, so the cut repeats the base circle. Tilting the plane away from perpendicular begins immediately to stretch it into an ellipse.

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