Discussion
A plane cutting a cone at an angle to the axis greater than the generator makes gives
Answer: B
Correct answer: an ellipse
Measured against the axis, the generator sets the dividing angle. A plane at a greater angle to the axis than the generator cuts right through the cone and closes, giving an ellipse; at exactly the generator’s angle it never closes and gives a parabola; and at a smaller angle it meets both nappes and gives a hyperbola. Perpendicular to the axis gives the circle.
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