# Quick Answer: How Do You Calculate Locus?

## How do you find the locus of a circle?

In algebraic terms, a circle is the set (or “locus”) of points (x, y) at some fixed distance r from some fixed point (h, k).

The value of r is called the “radius” of the circle, and the point (h, k) is called the “center” of the circle.

(h, k) = (0, 0), then the equation simplifies to x2 + y2 = r2..

## How do you find the Cartesian equation of a locus?

Answer. To find the Cartesian equation of a locus, we start by substituting 𝑧 = 𝑥 + 𝑦 𝑖 into the complex equation as follows: a r g  𝑥 + 𝑦 𝑖 − 3 𝑖 𝑥 + 𝑦 𝑖 − 5 𝑖  = 2 𝜋 3 .

## What is locus point?

A locus is the set of all points (usually forming a curve or surface) satisfying some condition. For example, the locus of points in the plane equidistant from a given point is a circle, and the set of points in three-space equidistant from a given point is a sphere.

## What is a locus of a circle?

The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

## What is locus of Triangle?

Locus is actually a path on which a point can move , satisfying the given conditions. And the shape of that path is referred to as locus. … And the possible locus or loci can be just a point, or set of points or a straight line or a triangle or a circle or a curve….

## What is another word for locus?

In this page you can discover 24 synonyms, antonyms, idiomatic expressions, and related words for locus, like: location, place, point, position, emplacement, site, situation, spot, venue, locale and allele.

## What is the locus of two points?

Rule 2: Given two points, the locus of points is a straight line midway between the two points. Rule 3: Given a straight line, the locus of points is two parallel lines. Rule 4: Given two parallel lines, the locus of points is a line midway between the two parallel lines.

## What is locus of a gene?

A locus is the specific physical location of a gene or other DNA sequence on a chromosome, like a genetic street address. The plural of locus is “loci”.

## What is the formula of locus?

First example Find the locus of a point P that has a given ratio of distances k = d1/d2 to two given points. In this example k = 3, A(−1, 0) and B(0, 2) are chosen as the fixed points. . It is the circle of Apollonius defined by these values of k, A, and B.

## How do you find the locus of two points?

To find the locus of all points equidistant from two given points, follow these steps:Identify a pattern. … Look outside the pattern. … Look inside the pattern. … Draw the locus and describe it in words.

## How do you find the locus of a straight line?

If a locus is decribed by a linear equation y = mx + c, then the graph of the locus is a straight line. If the graph of a locus is a straight line, then its algebraic equation is linear, i.e. y = mx + c.

## How would you describe a locus?

The word locus describes the position of points which obey a certain rule. … The circle – the locus of points which are equidistant from a fixed point, the centre. The perpendicular bisector – the locus of points which are equidistant from two fixed points A and B.

## What is the meaning of locus?

1 : a place or site of an event, activity, or thing the integrity of the tissues determines the extent and locus of the damage— Sylvia E. Hines. 2 : the position in a chromosome of a particular gene or allele. locus. noun.