Question

A right ˚ular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, as in the picture below. What is produced from this intersection?

a. A point

b. A parabola

c. A pair of parallel lines

d. A pair of intersecting lines

Answer 1

A plane intersecting a right circular cone parallel to its base produces a parabola, one of the classic conic sections.

Step-by-step explanation:

When a right circular cone is intersected by a plane that passes through the cone's vertex and is parallel to its base, the shape that is produced from this intersection is a parabola. This is one of the four classic conic sections, alongside the circle, ellipse, and hyperbola, which are formed by intersecting a plane with a cone at various angles and positions.