This is a geometry term.
It's a point that does not pass or lie on the same line as another point.
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They need not be. The four vertices of a quadrilateral are coplanar but NOT collinear. On the other hand, any line (in Eucledian geometry) has an infinite number of points on it - all of which are coplanar.
No.
The fixed points of a function f(x) are the points where f(x)= x.
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if i put three points on the common arm ,then they are common points for both the two angles