There are an infinity of points 4cm from a given line. These points form 2 lines parallel to and either side of the original line.
Equally, there are an infinite number of points 4cm from a given point on the original line. These points lie on the circumference of a circle radius 4cm with its centre at the given point.
There are only 2 points that fulfil both conditions. These points are found on the circumference of the circle where a diameter perpendicular to the original line and passing through the given point meets the circumference of the circle. These two points are also where the two parallel lines form tangents with the circle.
Infinitely many. There are infinitely many points in the plane and although any pair of points define a line, no matter how many lines you are given, it is always possible to find a point that is not on any of them - that is, a point that is not collinear.
If 2 points determine a line, then a line contains infinitely many planes.
A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.
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.
zero
Yes. There can be a line perpendicular to the given line at every point on it, and you know how many different points there are on it ...
Two.
Infinitely many. There are infinitely many points in the plane and although any pair of points define a line, no matter how many lines you are given, it is always possible to find a point that is not on any of them - that is, a point that is not collinear.
If 2 points determine a line, then a line contains infinitely many planes.
A line, ray, or line segment contains an infinite number of points.
one point can form a line! horizontally or vertically... but a line doesn't need any points.
3 points, hence "the 3-point line." But it depends on whether the ball goes through the hoop.
only two points are required to form a line .One is the starting point and other is the end point
A point can be intersected by infinitely many lines. Two points intersect in only one line. Three points either intersect in a line or not at all. This is only considering two dimensions.
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.
1 point
Only one