locus
locus
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.
Locus
The set of all numbers that make an inequality true is known as the solution set. It consists of all the values of the variable that satisfy the given inequality. This set can be expressed using interval notation or set builder notation, depending on the context of the problem. The solution set is crucial in determining the range of values that satisfy the given conditions.
It the set of all points which satisfy some given condition.
locus
The solution set for a given equation is the set of all points such that their coordinates satisfy the equation.
That's the plural of locus - the set of all points that satisfy some condition.
It is called a locus (plural = loci).
The set of points whose coordinates satisfy a given equation is called the graph of the equation. For example, in the case of a linear equation, the graph is a line, while for a quadratic equation, it is a parabola. This collection of points visually represents the relationship described by the equation in a coordinate system.
Plural of locus, or position. The term is often used for a set of points, for example, a line, a circle - all the points (positions) that satisfy a certain condition.
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
That's called the "solution set".
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A locus in mathematics refers to a set of points that satisfy a certain condition. For example, the locus of points that are all 1 unit from (0, 0) is a circle with a radius of 1 unit and a centre of (0, 0).
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.