Discussion
To obtain a section with two separate branches, the cutting plane must be inclined to the axis
Answer: D
Correct answer: more gently than the generator is
Two branches require the plane to meet both nappes of the double cone, which happens when it is inclined to the axis more gently than the generator - that is, when it is steeper relative to the base. At exactly the generator’s inclination it touches one nappe only and gives a parabola.
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