MathDB
Distance between A and B ≤ distance between A and other poin

Source: 1978 AHSME Problem 10

May 31, 2014
AMC

Problem Statement

If B\mathit{B} is a point on circle C\mathit{C} with center P\mathit{P}, then the set of all points A\mathit{A} in the plane of circle C\mathit{C} such that the distance between A\mathit{A} and B\mathit{B} is less than or equal to the distance between A\mathit{A} and any other point on circle C\mathit{C} is
<spanclass=′latex−bold′>(A)</span>the line segment from P to B<span class='latex-bold'>(A) </span>\text{the line segment from }P \text{ to }B\qquad
<spanclass=′latex−bold′>(B)</span>the ray beginning at P and passing through B<span class='latex-bold'>(B) </span>\text{the ray beginning at }P \text{ and passing through }B\qquad
<spanclass=′latex−bold′>(C)</span>a ray beginning at B<span class='latex-bold'>(C) </span>\text{a ray beginning at }B\qquad
<spanclass=′latex−bold′>(D)</span>a circle whose center is P<span class='latex-bold'>(D) </span>\text{a circle whose center is }P\qquad
<spanclass=′latex−bold′>(E)</span>a circle whose center is B<span class='latex-bold'>(E) </span>\text{a circle whose center is }B
Back to ProblemsView on AoPS