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All points in a plane that are equidistant from a given point form a circle. The center of the circle is the given point, and the radius is the constant distance from the center to any point on the circle. Thus, every point on this circle maintains the same distance from the center point.
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Locus of all points in a plane equidistant from a given point?
A Circle.
All the points on a plane that are equidistant from a single point?
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.
This is a geometric figure in which all points in a plane are equidistant from a given point?
If your asking "What is ...?" Then, the answer is a circle. This is the definition of a circle!
What is the mathematic definition of circle?
A circle is the set of all points in a plane that are equidistant from a given point, called the center.
A set of points all a given distance from a center point?
They are called equidistant points and form points on a sphere for a solid or a circle on a plane figure.
