yes
Yes, and the two points are located on the circumference of the circle
Yes and they are the end points
The two U.S. states with the farthest separated points are Alaska and Hawaii. In Alaska, the farthest points are often considered to be Cape Wrangell on Attu Island and the northern tip of the state, while in Hawaii, the farthest point is typically the Big Island. The vast distance between these two states, combined with Alaska's size and geographic isolation, results in the greatest separation of points across the United States.
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.