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A plane intersects one nappe of a double-napped cone such that the plane is not perpendicular to the axis and is not parallel to the generating line.

Which conic section is formed?

hyperbola

ellipse

parabola

circle

 

2)

A plane intersects one nappe of a double-napped cone such that it is perpendicular to the vertical axis of the cone and it does not contain the vertex of the cone.

Which conic section is formed?

 

parabola

ellipse

hyperbola

circle

 

4)

Which conic section results from the intersection of the plane and the double-napped cone where the plane is parallel to the generating line? see image

ellipse

parabola

circle

hyperbola

5)

A plane intersects a double-napped cone such that the plane contains the generating line.

Which terms describe the degenerate conic section that is formed? More than 1 answer

Select each correct answer.

degenerate ellipse

point

line

pair of intersecting lines

degenerate parabola

degenerate hyperbol

 May 17, 2017
 #1
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1) ellipse

 

2) circle

 

4) parabola

 

5) line and degenerate parabola

* I thought it was degenerate hyperbola because of the lines that seem to make sense to me, but it was degenerate parabola

 

Reference for help with Conic Sections:

https://quizlet.com/22927630/conic-sections-flash-cards/

 May 17, 2017

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