Question

Planes A and B intersect.



Which describes the intersection of plane A and line m?

line k
line n
point X
point W

Answer 1

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.

Answer: correct choice is C.

Answer 2

Point X as it is the only point common in the both , Therefore Option C is the correct answer.

What is the point of intersection ?

The point of intersection is the unit place where the two lines or planes meet each other .

In the given figure it can be seen that the the intersection of plane A and line m is given by Point X as it is the only point common in the both.

Therefore Option C is the correct answer.

To know more about Point of Intersection

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