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A cone of 70 mm base diameter is cut by a plane parallel to its axis and 15 mm from it. The section obtained is

  • A.a parabola with its vertex on the base
  • B.a circle of 40 mm diameter
  • C.one branch of a hyperbola
  • D.a complete ellipse

Answer: C

A plane parallel to the axis is shallower to the base than any generator, which is the hyperbolic condition, and only one branch falls within a single finite cone. Moving the plane onto the axis would give a triangle instead.

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