In a \( \triangle \mathrm{ABC} \), side \( \mathrm{AB} \) has the e...

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In a \( \triangle \mathrm{ABC} \), side \( \mathrm{AB} \) has the equation \( 2 \mathrm{x}+3 \mathrm{y}=29 \) and the side \( \mathrm{AC} \) has the equation \( \mathrm{x}+2 \mathrm{y}=16 \). If the
\( \mathrm{P} \) mid point of \( \mathrm{BC} \) is \( (5,6) \), then the equation of \( \mathrm{BC} \) is

W)
(1) \( 2 x+y=7 \)
(2) \( x+y=11 \)
(3) \( 2 x-y=17 \)
(4) none of these
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