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A line segment \(AB\, [A (-6, 11)\) and \(B (3, -4)]\) has a point \(C\) on it, which is thrice as far from \(A\) than \(B.\) Also, \(M\) and \(N\) are the midpoints of line segments \(AC\) and \(BC\) respectively. What is the ratio of the length of line segments \(MN\) and \(BC?\)
A. \(1{:}2\)
B. \(2{:}1\)
C. \(2{:}3\)
D. \(3{:}2\)
E. \(3{:}4\)
OA B
A. \(1{:}2\)
B. \(2{:}1\)
C. \(2{:}3\)
D. \(3{:}2\)
E. \(3{:}4\)
OA B