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1990 AHSME #6: Points in a Plane

Source:

January 1, 2013
AMC

Problem Statement

Points AA and BB are 55 units apart. How many lines in a given plane containing AA and BB are 22 units from AA and 33 units from BB?
<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>1<spanclass=′latex−bold′>(C)</span>2<spanclass=′latex−bold′>(D)</span>3<spanclass=′latex−bold′>(E)</span>more than 3<span class='latex-bold'>(A) </span>0\qquad <span class='latex-bold'>(B) </span>1\qquad <span class='latex-bold'>(C) </span>2\qquad <span class='latex-bold'>(D) </span>3\qquad <span class='latex-bold'>(E) </span>\text{more than }3
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