When an plane and a line intersects then their intersection is a point.
The point of intersection of a line and a plane is called the foot of the line.
In the given picture , the plane A and line m is intersecting at point X.
i.e. the intersection of plane A and line m is point X.
Hence, point X describes the intersection of plane A and line m.
I think line k I'm not sure
In analytic geometry, the intersection of a line and a plane in three-dimensional space can be the empty set, a point, or a line:it is the entire line if that line is embedded in the plane,it is the empty set if the line is parallel to the plane but outside it. Otherwise, the line cuts through the plane at a single point (see attached picture for details).
In your case line m is not parallel to the plane A and is not embedded in the plane, then the intersection is the point. Since point X is common point of the line m and the plane A, then the intersection of plane A and line m is point X.
correct choice is C.
because A and B are planes so the part of intersection is a line, which is line k
Line m is drawn on Plane A and contains Point x
The answer is point X
Point X is the correct answer.
The point X is on the line M in plane A