In a triangle \( A B C \), if \( \mathrm{A} \) is \( (1,2) \) and the equations of the medians t....

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In a triangle \( A B C \), if \( \mathrm{A} \) is \( (1,2) \) and the equations of the medians through \( B \) and \( C \) are \( x+y=5 \) and \( x=4 \)
\( \mathrm{P} \)
respectively then \( B \) must be:
(1) \( (1,4) \)
(2) \( \quad(7,-2) \)
(3) \( (4,1) \)
(4) \( (-2,7) \)


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