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The curve whose arches curve away from a fixed centre, the generating circle rolling on its outside, is the

  • A.epicycloid
  • B.hypocycloid of equal radii
  • C.cycloid on a straight base
  • D.involute of the fixed circle

Answer: A

The generating circle stays outside the directing circle throughout, so the arches curve away from the fixed centre. A hypocycloid is the corresponding curve for rolling inside, and its arches curve the other way entirely.

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