March 5,2012
Aim: How do we find the locus of points?First : What is LOCUS ??
P.s Locus in plural from is LOCI
One point locus:
In a one point locus question, the regents or your teacher might ask you to find the loci.
When finding the locus of one point, like point T
the distance has to remain the same.
In the picture below, T is the point and the distance is 5 as you can see from point T the distance remains same forming a circle.
Two points locus :
The two point locus,is a line segment that is in between the two points .
The locus of the two points is an line segment because no matter where the points are if they keep the same distance then the locus will always be a line.
For example:
 |
| The picture above shows the locus between those two points. In this case the distance between these two points is 5 so the line segment would be in the middle of the two points. |
One line locus:
The locus of one line are two parallel lines that are equidistant from the one line .
For example:
find the locus of points from the original line with a distance of 5.
Like in the image on the top the original line is shown, to find the locus with a distance of 5 the original line has to be an equidistant from the original line which forms two parallel lines.
TWO PARALLEL LINES:
With the two parallel lines the locus of points will form a line because the two parallel lines will always remain the same distance.
For example ,in the image below the two parallel lines have a distant of 5, the distance of 5 from both lines will forming one line.
Two intersecting points:
when having two intersecting lines the locus is much more different than the one point locus or like the two parallel line loci. The two intersecting line from two diagonal lines because because the distance of both intersecting lines from a diagonal line.
In the image below the two intersecting are the red dotted line the lines L1 and L2 are the locus of points.
TRY IT NOW
| How many point are equidistant from two parallel lines and also equidistant from two points on one of the lines? | |
| [1] 1 [2] 2 [3] 3 [4] 4 ------------------------------------------------------------------------------------------- Sources used : The penguin ,two intersecting line picture, and the try it problem are from regentsprep.org The rest is from my notes and brain :D |
This is sanaa the answer will be 1 because the points equidistant from two parallel lines is 1 line and two points on one of the line will still be one because it is from the same line. nice blog. I like your pics.
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