yes
Yes, and the two points are located on the circumference of the circle
Yes and they are the end points
Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.
line or a segment
If 2 points determine a line, then a line contains infinitely many planes.
YES. The intersection of two planes always makes a line. A line is at least two points.
Two intersecting lines can always cover three non-collinear points.
There are two: New Mexico and Texas.
North Carolina and South Carolina
It contains the whole line.
No, a line cannot contain four non-coplanar points. By definition, coplanar points are points that lie in the same plane, and any three points determine a plane. Since a line consists of an infinite number of points that are linear, any additional point beyond two points on a line will not be able to create a non-coplanar arrangement with those already on the line. Thus, four points on a line must be coplanar.