SOLUTION: Which intersection forms a parabola? 1.) A plane intersects only one nappe of a double-napped cone, and the plane is parallel to the generating line of the cone. 2.) A pl

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Question 1079789: Which intersection forms a parabola?
1.) A plane intersects only one nappe of a double-napped cone, and the plane is parallel to the generating line of the cone.
2.) A plane intersects both nappes of a double-napped cone, and the plane does not intersect the vertex.
3.) A plane intersects only one nappe of a double-napped cone, and the plane is not parallel to the generating line of the cone.
4.) A plane intersects only one nappe of a double-napped cone, and the plane is perpendicular to the axis of the cone.



Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Check out this image for reference.
I recommend writing this on a notecard or memorizing what is shown here

Image Source: http://mathworld.wolfram.com/ConicSection.html

Based on the image above, and the descriptions given to you by your book, we have:
1) Parabola
2) Hyperbola
3) Ellipse
4) Circle

The final answer is choice 1) which is the proper configuration to generate a parabola.