Discussion
Match the cutting plane with the section obtained.
1. Perpendicular to the axis 2. Parallel to a generator 3. Through the apex
P. Two intersecting straight lines Q. A circle R. A parabola
Answer: C
Correct answer: 1-Q, 2-R, 3-P
Three cutting planes and three sections. Perpendicular to the axis gives a circle. Parallel to a generator gives a parabola, the boundary case that never closes. And through the apex gives a degenerate section, in the general case two straight lines crossing at the apex rather than a curve at all.
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