Circle
A circle or a sphere would fit the given description.
Locus
There will always be a single plane through all three points.
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
The slope of a line can be found by choosing any two points of that single line, not of multiple lines.
===> "circle", with center at the "single point" and radius of the "certain distance".
Circle
The answer will depend on what the "certain distances" are for each point.
The answer will depend on what the "certain distances" are for each point.
A circle or a sphere would fit the given description.
The distance from start at which a certain object is located at a certain time.
The question is ambiguous. Is the"single" point fixed or floating?
Locus
The shortest distance between four points is a straight line to and from each individual point. If all four points are aligned, the result will be a single straight line through all four points.
On a number line, that would be a single number that describes the position - basically, the number itself.
monopoly
A circle is a set of points equidistant ( the same distance ) away from a single point, the center of the circle.