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The tangent method draws a parabola

  • A.by striking arcs from the focus
  • B.by dividing a circumscribing circle
  • C.from its two asymptotes and one point
  • D.as the envelope of a series of tangent lines

Answer: D

Correct answer: as the envelope of a series of tangent lines

The tangent method draws no points on the curve at all: it constructs a family of lines each touching the parabola, and the curve appears as the boundary they envelope. It is the natural construction when the parabola is specified by two tangents and their points of contact, as in the profile of an arch.

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