Yes
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.
Normally a straight line segment.
All the points on a line that are between two given points form a line segment. A line segment has a defined length, is bounded by the two endpoints, and includes all points along the line that lie between these endpoints. Unlike a line, which extends infinitely in both directions, a line segment is finite.
But it's not an equation because there is no equal sign and no points are given.
False ( apex )
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.
Normally a straight line segment.
No, it cannot.
A line, ray, or line segment contains an infinite number of points.
line
Two points determine a line. Also there is one and only line perpendicular to given line through a given point on the line,. and There is one and only line parallel to given line through a given point not on the line.
False. * * * * * No, it is true. It is false if the line is a vector but not otherwise.
But it's not an equation because there is no equal sign and no points are given.
False ( apex )
-1
The locus of points at a given distance to a line would be a line parallel to the first line. Assuming that both lines are straight.
If 2 points determine a line, then a line contains infinitely many planes.