A pair of parallel lines, an ellipse or a circle.
When a plane intersects a cylinder, the resulting shape can be a circle, an ellipse, a parabola, or a hyperbola, depending on the angle and position of the plane relative to the cylinder. If the plane cuts parallel to the axis of the cylinder, the intersection will be a rectangle or a parallelogram. If the plane cuts at an angle, the intersection can produce a curved line, typically an ellipse or a hyperbola. The exact nature of the intersection depends on the specific parameters of the cylinder and the plane.
When a line intersects a plane and does not lie in the plane, the intersection forms a single point. This point is where the line crosses the plane. If the line is parallel to the plane, however, there will be no intersection point.
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
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 point.
The intersection of a line and a plane can result in either a single point, if the line passes through the plane, or no intersection at all if the line is parallel to the plane and does not touch it. In some cases, if the line lies entirely within the plane, every point on the line will be an intersection point. Thus, the nature of the intersection depends on the relative positions of the line and the plane.
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.
If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.
point * * * * * or, nothing (if the line is parallel to the plane).
Unless the line is a subset of the plane, the intersection is a point.
A point.
A point.
A point.
The intersection of two lines is always a point or the line itself. The intersection of a line with plane also the same as above.
No. It can be the whole line.
point
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