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Q: How many line can contain 3 non collinear points?

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If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.

As long as at least two of them are different points, exactly one line.

There are one or infinitely many points.

If the line is straight, then only one line may connect two points.

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.

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Points are collinear if they are on the same line.

Infinitely many planes may contain the same three collinear points if the planes all intersect at the same line.

If the points are collinear, that means there's only one straight line. An infinite number of different planes can be drawn that contain one straight line.

None. In ordinary geometry, a line contains an infinite number of points and, by definition, they are all collinear. In projective geometry, however, you can have three lines in the form of a triangle. Each line has only two points on it, so it cannot have 3 points collinear.

only 1 lines can contain 3 collinear points. Maybe you mean coplanar?

Exactly one.

10 collinear points form one set of overlapping line segments, of which there are 45.

only one line

Infinitely many planes contain any two given points- it takes three (non-collinear) points to determine a plane.

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.

There will always be a single plane through all three points.

two points form a line one more point is needed to check whether it is collinear or not so atleast three points must be require to check the non collinerancy of a points

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