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

Question

Kipish [7]

3 years ago

6

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

Mathematics

2 answers:

meriva · Answer 1 · 2021-11-23T13:31:01+03:00

meriva3 years ago

6 0

Ellipse is the correct answer

belka [17] · Answer 2 · 2021-11-23T15:31:56+03:00

Answer:

The conic section that is produced on such slicing is:

Ellipse.

Step-by-step 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 )