When a cone is sliced by a plane parallel to its base, but not passing through its apex, what is the shape of the resulting cross-section?
- AEllipse
- BHyperbola
- CParabola
- DCircle
Solution & Step-by-step Explanation
A standard right circular cone has a base that is a circle. Any plane slicing through the cone that is parallel to this base creates a scaled-down, perfectly symmetrical circular cross-section. If the plane tilt angle matches or varies relative to the base angle, it produces other conic sections (ellipses, parabolas, or hyperbolas). Since it is strictly parallel here, it forms a circle.