Question

A cylinder is sliced by a plane that is not parallel to the base and intersects only the lateral surface. The resulting cross section is which of the following

A: A Circle


B: A Parabola


C: An Ellipse


D: A Hyperbola

Answer 1

The answer is C: An Ellipse

Explanation:

Answer 2

Option: C is the correct answer.

The cross-section that is obtained on slicing is:

C. An ellipse.

Explanation:

• We know that when a cylinder is sliced by a plane parallel to its base then a circle is obtained.

• If slicing is done perpendicular to the base then the cross-section that is obtained is: rectangle.

• and if slicing is done by a plane that is not parallel to the base and intersects only the lateral surface is: Ellipse.

Hence, option: C is the answer.