The right answer is (B) The line that can be drawn through points D and E is contained in plane Y.
The planes X and Y, as well as the points C, D, E, and F, are depicted in the figure.
We must choose the TRUE statement concerning the points and planes.
We know that if two points are in the same plane, then the line drawn between them is also in the same plane.
Because point C is outside plane Y and point D is on plane Y, the line drawn through them will not be contained in plane Y.
As a result, option (A) is incorrect.
Because the points D and E are both in plane Y, the line drawn across them will likewise be in plane Y.
As a result, option (B) is CORRECT.
Because plane X contains an unlimited number of points, F is not the only point that can exist in plane X.
As a result, option (C) is incorrect.
Similarly, because the plane Y has an unlimited number of points, the points D and E are not the only ones that can exist in it.
As a result, option (D) is incorrect.
As a result, the correct option is
Plane Y contains the line that can be formed between points D and E.
Option (B) is the correct answer.