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It depends on at what angle the plane and the cylinder are intersecting. If they are standing upright and intersect at 90 degrees (from the altitude of the shapes), a line in the shape of a circle forms.
A line and a plane that do not intersect are always skew. Skew refers to two or more lines or planes that are not parallel and do not intersect. Since a line and a plane are different-dimensional objects, they will never intersect and will always be skew.
When the line is inclined to the plane. That is, it is not in the plane nor is it parallel to it.
A pair of parallel lines, an ellipse or a circle.
A point - unless the line lies within the plane, or is parallel to it.