The set of all the points is the plane itself.
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All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
Coplanar points lie on the same plane. A plane is a flat, two-dimensional surface that extends infinitely in all directions. Coplanar points can be thought of as points that all lie in the same plane and can be connected by straight lines without leaving that plane.
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No, A plane can be drawn through any 3 points. If the 3 points are collinear then they make a line and a plane can contain a line. If the points are noncollinear then they can be used to form the corners of a triangle; all points of a triangle are in the same plane.
collinear