##### Asked by: Oma Tabares

asked in category: General Last Updated: 28th March, 2020# What is the locus of a straight line?

**line**is

**straight**if it has a constant gradient, i.e. if the gradients between any two points on the

**line**are equal. If the gradients between any two points on the

**locus**are equal, then the

**locus**is a

**straight line**. If the

**locus**is a

**straight line**, then the gradients between any two points on the

**locus**are equal.

In this regard, what is the locus of a line?

In geometry, a **locus** (plural: **loci**) (Latin word for "place", "location") is a set of all points (commonly, a **line**, a **line** segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

One may also ask, 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 x^{2} + y^{2} = r^{2}.

Beside this, what is the formula of locus?

The required **equation** to the **locus** under the given conditions is x^{2} + y^{2} = 16. Last one. In this one, we were to find out the **locus** of a point such that it is equidistant from two fixed points, which was the perpendicular bisector of the line joining the points.

What is locus of the 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.