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1978 AMC 12 Question 10

AMC12 · 1978 AMC 12

Question 10

If $B$ is a point on circle $C$ with center $P,$ then the set of all points $A$ in the plane of circle $C$ such that the distance between $A$ and $B$ is less than or equal to the distance between $A$ and any other point on circle $C$ is
  1. the line segment from $P$ to $B$
  2. the ray beginning at $P$ and passing through
    $B$
  3. a ray beginning at $B$
  4. a circle whose center is $P$
  5. a circle whose center is $B$