What is the locus definition of a parabola?
The parabola is defined as the locus of a point which moves so that it is always the same distance from a fixed point (called the focus) and a given line (called the directrix). [The word locus means the set of points satisfying a given condition.
Which best describes a parabola?
A parabola is the set of all points in a plane equidistant from a fixed point V (called the vertex) and a fixed line A (called the axis of symmetry). OD. A parabola is the set of all points in a plane equidistant from a fixed point V (called the vertex) and a fixed line D (called the directrix).
What is Directrix of a parabola?
A parabola is set of all points in a plane which are an equal distance away from a given point and given line. The point is called the focus of the parabola, and the line is called the directrix . The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.
What is locus point?
In mathematics, a locus of points is a set of points that all satisfy some given condition or property. Some examples of loci of points are the set of all points the same distance from a point; the set of all points satisfying a given equation; or the set of all points that are the same distance from two given points.
What is focal length of parabola?
One description of a parabola involves a point (the focus) and a line (the directrix). The distance between the vertex and the focus, measured along the axis of symmetry, is the “focal length”. The “latus rectum” is the chord of the parabola that is parallel to the directrix and passes through the focus.
What’s the difference between locus and focus?
The difference between focus and locus, then, is subtle. Both words can refer to a place where something happens, but the fine distinction is that the former denotes a center of attention and the latter refers to the location itself.
What is the locus of points idea?
Which of the following defines a parabola?
parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. The vertex of the parabola is the point on the curve that is closest to the directrix; it is equidistant from the directrix and the focus.
What is a math parabola?
What is the difference between a vertex a focus and a directrix?
The focus is “p” units from the vertex. Since the focus is “inside” the parabola and since this is a “right side up” graph, the focus has to be above the vertex. Then the focus is one unit above the vertex, at (0, 1), and the directrix is the horizontal line y = –1, one unit below the vertex.
What are some examples of locus?
What is the locus of points of a parabola?
A parabola is the locus of points such that the distance from to a point (the focus) is equal to the distance from to a line (the directrix). This Demonstration illustrates those definitions by letting you move a point along the figure and watch the relevant distances change.
How is a parabola defined in the Euclidean plane?
A parabola can be defined geometrically as a set of points (locus of points) in the Euclidean plane: A parabola is a set of points, such that for any point of the set the distance to a fixed point
How is the latus rectum related to the parabola?
The distance between the vertex and the focus, measured along the axis of symmetry, is the focal length. The latus rectum is the chord of the parabola which is parallel to the directrix and passes through the focus. Parabolas can open up, down, left, right, or in some other arbitrary direction.
What is the locus of a GeoGebra program?
A locus is a set of a points that all meet a certain condition. In the diagram below, consider the locus containing all points P meeting the conditions of the program. You may slide any of the points in the diagram and the slider in order to answer the questions following the diagram.