The statement which is correct among the given statements is:
Statement C: The line is on the same plane as the points.
We know that when two or more points lie on the same plane( i.e. the points are coplanar ) then the line connecting these points will also lie in the same plane.
Also, there may be more than one plane which may contain a line or we may say there are multiple planes that may contain a line.
Hence, the line connecting these points does not lie in just one plane.
Hence, the correct statement is:
Statement : C