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Q: Is three distinct points always determine a line?

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discuss the possible number of points of interscetion of two distinct circle

no,three points can be non collinear

if i put three points on the common arm ,then they are common points for both the two angles

The number of permutations of the letters EFFECTIVE is 9 factorial or 362,880. To determine the distinct permutations, you have to compensate for the three E's (divide by 4) and the two F's (divide by 2), giving you 45,360.

... in the same plane.

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No, they need not.

Three points determine exactly one plane.That means that if you bring me a plane, then some or all of my three points may ormay not lie in your plane. But if you bring me three points, then I can always draw aplane in which all of your points lie, and I can also guarantee that it's the only one.By the way ... three points also determine exactly one circle.

Three. That is why three-legged stools are always stable--the ends of their legs define a plane.

Three points can determine a plane but not 3-d space.

No. Three points do. Two points determine a line.

Yes. That's why a 3-legged stool never wobbles.

Three non-linear points determine a plane.

Any 3 points determine a plane.

discuss the possible number of points of interscetion of two distinct circle

A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line.If a straight line can be drawn through all three points, they will not form one unique plane either.

A series of 3 points will always determine a plane unless 2 or all 3 points are identical points (they have the same coordinates).If the idea is to have the three points determine oneplane, a unique plane, then three points will do that as long as none of them have the same spacial coordinates (have identical locations) or as long as the three points do not lie on a single line

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