What Is The Locus Of A Straight Line?

What is meant by locus of a 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..

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.

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 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.

How do you define a straight line?

more … A line that does not curve. In geometry a line is always straight (no curves). See: Line.

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.