It is a parabola.
There will always be a single plane through all three points.
It depends on the context in which the question is asked: whether it is basic geometry, coordinate geometry or vector algebra. If you can draw a single straight line through a set of points they are collinear; if you cannot then they are not.
The slope of a line can be found by choosing any two points of that single line, not of multiple lines.
Collinear points are points that lie on the same line. Noncollinear points do not lie on the same line. Any two points are always collinear, i.e. forming a line. Three or more points can be collinear along a single line.Collinear points lies on the same straight line.
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.
The set of all points in a plane that are equidistant from a single point and a single line
parabola
A parabola.
It is a parabola.
A circle is a set of points equidistant ( the same distance ) away from a single point, the center of the circle.
A point is not a circle. A point has no dimensions, it is a single, exact location in space. A circle is defined as the set of all points equidistant from some central point.
A sphere has a single curved surface. It is said to have one surface. Further, the sphere has no "flat spots" or "angles" or "discontinuities" of any kind. It is a planar figure that is the set of all points equidistant from a single point, which is its center.A sphere has only one surface.
The question is ambiguous. Is the"single" point fixed or floating?
circle has single center point and is equidistant to point of radius,while oval has four(4) center points with two(2) different radius.
Group theory is of particular significance to the study of objects having plenty of symmetry. The sphere is a good example; its self-equivalences include arbitrary rotations in three dimensions about the centre.Notice that for any two points on the sphere, there is a self-equivalence (i.e., rotation) taking one of the points to the other.The sphere is homogeneous, a technical word meaning "having lots of symmetry"! A special role is played by the set of self-equivalences fixing a single point (in this case, the rotations about a fixed axis); it is called the isotropy subgroup of the symmetry.
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