sketch the intersection of these loci. show all cases. all points a given distance from a line. and all points a given distance from a point.

Answer 1

The first locus is a straight line parallel to the given line.

The 2nd locus is a circle with the point as center.

There are 2 possible intersections

the line intersects the circle at 2 points,

the line is tangent to the circle OR

the line and circle do not intersect.