The set of all the points is the plane itself.
Yes, four collinear points are also coplanar. Collinear points lie on the same straight line, and any set of points that includes at least three points can be contained within a plane. Therefore, since collinear points can be defined within a single plane, four collinear points must be coplanar.
They are points on the circumference of a unique circle in the plane.
In ordinary geometry (as opposed to affine geometry), a plane MUST consist of an infinite set of points.
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A set is said to be convex with respect to the origin if the line segment between any two points in the set lies entirely within the set. In simpler terms, for any two points within the set, all the points on the line joining them are also within the set.
The set of all the points is the plane itself.
The set of all points in the plane equidistant from one point in the plane is named a parabola.
They are points on the circumference of a unique circle in the plane.
That set of points forms what is known as a "circle".
The complement of the triangle in the plane.
In ordinary geometry (as opposed to affine geometry), a plane MUST consist of an infinite set of points.
It takes three points to make a plane. The points need to be non-co-linear. These three points define a distinct plane, but the plane can be made up of an infinite set of points.
A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).A circle is the set of all points, on a plane, that is at a specific distance from a specified point (the center).
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a circle
A circle.