(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?
b) The locus of all points with a constant distance to a fixed point is a circle.
Since and the radius of the circle is greater than the distance of the parallels to (AB) you'll get 4 points.