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Match the section plane with the curve it cuts from a cone.

1. Parallel to the base   2. Parallel to a generator   3. Through the apex

P. A triangle   Q. A circle   R. A parabola

  • A.1-Q, 2-R, 3-P
  • B.1-R, 2-Q, 3-P
  • C.1-Q, 2-P, 3-R
  • D.1-P, 2-R, 3-Q

Answer: A

The inclination of the plane relative to the generator decides the curve entirely, which is why one solid yields the whole family of conics. Passing through the apex gives the degenerate triangular form rather than a curve.

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