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.