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Parametric representations are generally

  • A.non unique
  • B.unique
  • C.function
  • D.solution

Answer: A

A curve can be parametrised in infinitely many ways - changing the parameter traces the same set of points at a different rate.

\[ (\cos t, \sin t) \quad\text{and}\quad (\cos 2t, \sin 2t) \]

both describe the unit circle. So parametric representations are non-unique: the curve determines the shape, not the parametrisation.

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