A plane intersects only one nappe of a double-napped cone such that it is parallel to the generating line and it does not contain the vertex of the cone.Which conic section is formed? hyperbolacircleparabolaellipse

Respuesta :

Step 1

Given; A plane intersects only one nappe of a double-napped cone such that it is parallel to the generating line and it does not contain the vertex of the cone.

Which conic section is formed?

Step 2

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 an 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 nappe of a cone and is parallel to the generating line and it does not contain the vertex of the cone then a parabola is obtained )

Thus the answer is;

[tex]Parabola[/tex]