If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.A.ellipseB.parabolaC.circleD.hyperbolaSUBMITarrow_backPREVIOUS
Question
If a right circular cone intersects a plane that runs parallel to the edge of the cone, the resulting curve will be a(n) _____.A.ellipseB.parabolaC.circleD.hyperbolaSUBMITarrow_backPREVIOUS
Solution
The answer is B. Parabola.
Here's why:
A right circular cone is a three-dimensional geometric shape that tapers smoothly from a flat, round base to a point called the apex or vertex. If a plane intersects a cone and runs parallel to the edge (or side) of the cone, the resulting curve will be a parabola.
This is because a parabola is defined as the set of all points in the plane that are equidistant from a given point (the focus) and a given line (the directrix). In this case, the edge of the cone acts as the directrix and the vertex of the cone acts as the focus. Therefore, the intersection of the plane and the cone forms a parabola.
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