A minimum of three points are required to define a plne (if they are not collinear). And in projective geometry you can have a plane with only 3 points. Boring, but true. In normal circumstances, a plane will have infinitely many points. Not only that, there are infinitely many in the tiniest portion of the plane.
There are infinitely many points in a plane.
There are one or infinitely many points.
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
In a plane, only one.
many
There are infinitely many points in a plane.
3
There are one or infinitely many points.
Any Euclidean plane has infinitely many points.
They define one plane. A line is defined by two points, and it takes three points to define a plane, so two points on the line, and one more point not on the line equals one plane.
In a plane, only one.
A plane has an infinite number of points. It takes 3 points to fix a plane i.e. you need 3 points to identify one unique plane.
The set of all points in the plane equidistant from one point in the plane is named a parabola.
There are an infinite number of any kind of points in any plane. But once you have three ( 3 ) non-collinear points, you know exactly which plane they're in, because there's no other plane that contains the same three non-collinear points.
many
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
Zero (if the line is parallel to the plane), one (generally), or an infinite number (if the line is within the plane).