(1) Point P is located on line AB.

(a) Describe the locus of points that are 3 units from line ABand (b) 5 points from point P.

(2) How many points satisfy both conditions in part(a)above?

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- Oct 2nd 2008, 04:31 AMmagentaritaLocus of Points
(1) Point P is located on line AB.

**(a) Describe the locus of points that are 3 units from line AB****and (b) 5 points from point P.**

**(2) How many points satisfy both conditions in part****(a)****above?**

- Oct 2nd 2008, 06:05 AMearboth
a) The locus of all points which are 3 units from a straight line are

**two**parallels: One "above" and one "below" :D

b) The locus of all points with a constant distance to a fixed point is a circle.

Since $\displaystyle P \in (AB)$ and the radius of the circle is greater than the distance of the parallels to (AB) you'll get 4 points. - Oct 2nd 2008, 01:43 PMmagentaritaok