HomeTestsSearchRankProfile
mediumMCQMock Test2026Quantitative Aptitude
1 mark

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?

  1. A
    Ellipse
  2. B
    Hyperbola
  3. C
    Parabola
  4. D
    Circle

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.

Practice this question

Try it yourself before checking the explanation above.

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?
A
Ellipse
B
Hyperbola
C
Parabola
D
Circle

Share This Question

Related Questions

Ready for a Full Test?

Practice with timed mock tests and track your performance across Quantitative Aptitude.

Discussion