Problem: If is a point on circle with center , then the set of all points in the plane of circle such that the distance between and is less than or equal to the distance between and any other point on circle is
Answer Choices:
A. the line segment from to
B. the ray beginning at and passing through
C. a ray beginning at
D. a circle whose center is
E. a circle whose center is
Solution:
For each point other than , the point of intersection of circie with the ray beginning at and passing through is the point on circle closes to . Therefore the ray beginning at and passing through is the se: of all points such that is the point on circle which is closest to point