Question

What type of curve is created by the intersection of a plane parallel to the side of cone

Answer 1

Hi Mate ☺

The intersection of a right circularcone and a plane parallel to a side of the cone is a parabola.In the degenerate case that the planecontains the side of the cone, theintersection is a line. Let A be the vertex of the cone. Let B,E,C,D lie on a circle formed by a plane perpendicular to the axis of the cone.

Hope this helps ☺

Answer 2

Parabola is created by the intersection of a plane parallel to the side of cone.

Explanation:

Cone:

• A cone is a shape that can be formed by using a many of the line segments or the lines which connects a common point, called the vertex, to all the points of a circular base.
• The distance from the vertex of the cone to the base is called the height of the cone.

Parabola:

• A parabola is a section of a right circular cone formed by cutting the cone by a plane parallel to the slant of the cone.
• It is locus of a point which moves in a plane such that its distance from a fixed point is the same as the distance from a fixed line which doesn't contain the fixed point.

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