Yes.
tangent
A plane intersects a line at a point, and i plane intersects another plane at a line.
The x-axis typically intersects the y-axis in a coordinate plane at the origin, or 0,0. One can renumber either or both axis, resulting in a different intersection point, but that is usually done only in specialized cases.
The intersection of a sphere with a plane is a point, or a circle.
Polygon
point
A circle~
The intersection of the cone and that particular plane is a parabola.
Then the intersection is a hyperbola.
The intersection forms a hyperbola.
You a goofy shoty B.
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
tangent
If a right circular cone intersects a plane that runs parallel to the edge of the cone the result curve will be a parabola, unless the intersection includes the vertex of the cone, in which case the intersection is a straight line. This is a conic section. Depending on the angle of the plane, the section will be a circle, an ellipse, a parabola, or two hyperboles.
point of intersection.
A plane intersects a line at a point, and i plane intersects another plane at a line.
The x-axis typically intersects the y-axis in a coordinate plane at the origin, or 0,0. One can renumber either or both axis, resulting in a different intersection point, but that is usually done only in specialized cases.