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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?

circle
ellipse
parabola
hyperbola

2 Answers

2 votes
ellipse is the correct answer
User Monokrome
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4 votes

Answer:

The conic section that is produced on such slicing is:

Ellipse.

Explanation:

We know that when a slicing of a double nape cone is done such that the plane intersects one nape of a double-napped cone such that the plane is not perpendicular to the axis and is not parallel to the generating line then ellipse is formed.

( If the plane passes just one nape of a cone and is perpendicular to the axis then a circle is obtained.

and if a plane passes through just one nape of a cone and is parallel to the generating line than a parabola is obtained )

User Woojin
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