In a \( \triangle A B C \), the equation of the side \( B C \) is \( 2 x-y=3 \) and its circumce...

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In a \( \triangle A B C \), the equation of the side \( B C \) is \( 2 x-y=3 \) and its circumcentre and orhtocentre are \( (2,4) \) and \( (1,2) \) respectively.
\( \mathrm{P} \) \( \sin B \cdot \sin C= \)

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(a) \( \frac{9}{2 \sqrt{61}} \)
(b) \( \frac{9}{4 \sqrt{61}} \)
(c) \( \frac{9}{\sqrt{61}} \)
(d) \( \frac{9}{5 \sqrt{61}} \)
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