Section of the plane.
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point * * * * * or, nothing (if the line is parallel to the plane).
origin
Two planes that intersect are simply called a plane to plane intersection. When they intersect, the intersection point is simply called a line.
The shape described by the intersection of the cone and the plane is simply a circle.
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.