Wednesday, March 14, 2012

How do we find the locus of points?

The locus is the set of all points that satisfy a given condition.

A locus is a general graph of a given equation.

What is the locus of points equidistant from a single point?
* A circle with the original point in the center

What is the locus of points equidistant from 2 fixed points?
* A line through the middle of the two points.

What is the locus of points from a single line?
* Two parallel lines on opposite sides of original lines

What is the locus of points equidistant from two parallel lines?
* A line through the middle of the two lines

What is he locus of points from two intersecting lines?
* Two intersecting lines halfway between the two original lines

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