A right circular cone is intersected by a plane that passes through only one nappe of the cone and is parallel to an edge of the

Question

Over [174]

3 years ago

7

A right circular cone is intersected by a plane that passes through only one nappe of the cone and is parallel to an edge of the

cone, as in the pictire below. What object is produced from this intersection?

Mathematics

2 answers:

Effectus [21] · Answer 1 · 2022-09-03T01:21:18+03:00

Answer:

The object that is produced from this intersection is:

Parabola.

Step-by-step explanation:

The intersection of this given plane and a cone will form a parabola.

( Since a circle is formed when the plane is parallel to the base of a cone.

Hyperbola is formed when a plane cuts both the napes of a cone by some angle.

and a ellipse is formed when the plane cuts both the slant height of one nape of a cone )

Also we can observe this with the help of a figure that is attached to the answer.

m_a_m_a [10] · Answer 2 · 2022-09-03T00:04:59+03:00

m_a_m_a [10]3 years ago

3 0

Parabola

It's not always easy to visualize this stuff. Do a Google image search for "3D Conic Sections" and take a look at a bunch of the results. That may help a bit. Let me know if you have any other questions.