wht does locus mean in maths?

Question

IT IS RELATED 2 LESSON CIRCLES

Answer 1

In mathematics, a locus (Latin for "place", plural loci) is a collection of points which share a property. The term 'locus' is usually used of a condition which defines a continuous figure or figures, that is, a curve. For example, a line is the locus of points equidistant from two fixed points.

The conic sections may be defined in terms of loci:

* A circle is the locus of points from which the distance to the center is a given value, the radius.
* An ellipse is the locus of points, the sum of the distances from which to the foci is a given value.
* A hyperbola is the locus of points, the difference of the distances from which to the foci is a given value.
* A parabola is the locus of points, the distances from which to the focus and to the directrix are equal.

Very complex geometric shapes may be described as the locus of zeros of a function or polynomial. Thus, for example, the quadric surfaces are defined as the loci of zeros of the quadratic polynomials. More generally, the locus of zeros of a set of polynomials are known as an algebraic variety, the properties of which are studied in the branch of mathematics called algebraic geometry.

Answer 2

Locus Definition

Answer 3

It means the location of all points that satisfy a given condition.

For example the locus of all points that are a distance r away from a point C is a circle with radius r and center C.

The locus of all points that are equidistance from a line L and a point P is a parabola. The line L is called the directrix and the point P is called the Focus of the parabola.

Sometimes the locus can be a single point. The locus of all points common to the x-axis and the y-axis is The origin (0,0).

Hope this helped.

Answer 4

Locus is a set of points satisfying a given condition.

Answer 5

In mathematics, a locus (Latin for "place", plural loci) is a collection of points which share a property. The term 'locus' is usually used of a condition which defines a continuous figure or figures, that is, a curve. For example, a line is the locus of points equidistant from two fixed points.

Answer 6

Locus is a set of points satisfying a given condition.
Ex, circle is a locus of points equidistant from a given point - the centre.

Answer 7

Locus is a line connecting the points havin same quality. For example circumference of a circle is the locus of a point that is of same distance from the center

Answer 8

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wht does locus mean in maths?
IT IS RELATED 2 LESSON CIRCLES

Answer 9

locus basically means path. as in context to the circle, a circle is the locus of all the points in a 2d plane which are at an equal distance from a fixed point.

Answer 10

a locus is a point set whose members satisfy one or more conditions. a circle is locus of points which are equidistant from a point (the center). another locus might be a "solid" circle: points whose distance from a point are equal to or less than a constant.