In Euclidian or plane geometry, there can be only one line through two fixed points. Lines cannot actually be drawn; if you see it it is not a geometric line. If the points are on a curved surface as in a geometry that is non-Euclidian, then there can be infinitely many lines connecting two points.
No points can be drawn from a point.
It can be only 1 * * * * * Infinitely many concentric circles can be drawn.
There are infinite circles which can be drawn with 2 defined points.. Because if we have 2 points then we can draw infinite equal intersecting lines in infinite directions, These intersecting lines are the radii of the circles. Like : we have 2 points You can draw infinite isosceles triangles as taking the line joining the points For example (activity) : we have 2 points A, B so let's join A and B which will make line AB and so let's take another point C and place that point in such a way that AC = AB and we observe that there are infinite points which can be placed in such a way like how we marked C. Now draw a circle with center C and radius A, we will observe that the circle also cuts through B and so as we have infinite points like C, so we can have infinite circles ..... And so we conclude that infinite circles with different radii can be drawn through two defined distant points ...
Zero, or all if the circles coincide.
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If the circles have the same radius then an infinite number, and if they do not, then none.
Only one line can be drawn through eight points.
depend how many points are them
The answer is 1.Here is the theorem:There is a unique circle passing through points P1 , P2 , P3 if and only if these three points are non-collinear.The proof is not too hard, but involves some linear algebra. I will post a link to it.
There is only one line (or line segment) that can be drawn between two distince points.
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