The locus point is the perpendicular bisector of AB. The locus point is the perpendicular bisector of AB.
A Circle.
This is the center, or locus, of a set of points, such as a curve or circle.
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
The locus of points refers to the set of all points that satisfy a given condition or equation. For straight lines, the locus can be defined by a linear equation, while circles are defined as the set of points equidistant from a center point. Parabolas, on the other hand, can be described as the locus of points equidistant from a fixed point (the focus) and a fixed line (the directrix). This concept allows for the geometric representation of various shapes based on specific conditions.
The locus of points that are the same distance from a point and a line is a parabola. In this scenario, the point acts as the focus of the parabola, while the line serves as the directrix. The shape of the parabola opens away from the line, with all points on the curve equidistant from both the focus and the directrix.
circle
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
A Circle.
This is the center, or locus, of a set of points, such as a curve or circle.
A circle is the locus of all points equidistant from a given point, which is the center of the circle, and a circle can be drawn with a compass. (The phrase "locus of points for a circle" does not seem to be conventionally defined.) or true
The locus of a moving point so that it is equidistant from another fixed point (i.e. the distance between them is always constant) is a circle.
You can define a circle as the locus (set) of all points equidistant from a given point.
A circle, rotated about any diameter, will generate a sphere with the same radius. A circle is the locus of all points in 2-dimensional space that are equidistant from a fixed point. A sphere is the locus of all points in 3-dimensional space that are equidistant from a fixed point.
Every point equidistant from (4, 1) and (10, 1) lies on the line [ x = 7 ],and that's the equation.
That's a sphere whose radius is the constant equal distance.
The locus of points that are the same distance from a point and a line is a parabola. In this scenario, the point acts as the focus of the parabola, while the line serves as the directrix. The shape of the parabola opens away from the line, with all points on the curve equidistant from both the focus and the directrix.
The locus of points equidistant from two intersecting lines forms two angle bisectors of the angles created by the lines. When considering points that are at a given distance from a point O, the result is the intersection of the angle bisectors with a circle (or circles) centered at O with the specified radius. This results in two arcs for each angle bisector, forming a total of four distinct points along the angle bisectors, each at the specified distance from point O.