Game:

Counter-Strike: Source (2004)

Duration: 18:05

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Vertex \( A \) of the \( \triangle A B C \) is at origin. The equation of medians through \( B \) and \( C \) are \( 15 x-4 y-240=0 \) and \( 15 x-52 y+240=0 \) respectively.
\( \mathrm{P} \)
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{3}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \begin{tabular}{l}
The coordinates of \\
incentre of \( \triangle A B C \) are
\end{tabular} & \( (\mathrm{P}) \) & \( \left(\frac{56}{3}, 10\right) \) \\
\hline (B) & \begin{tabular}{l}
The coordinates of \\
centroid of \( \triangle A B C \) are
\end{tabular} & (Q) & \( (21,12) \) \\
\hline (C) & \begin{tabular}{l}
The coordinates of \\
excentre opposite to \\
vertex \( C \) of \( \triangle A B C \) are
\end{tabular} & (R) & \( (12,21) \) \\
\hline (D) & \begin{tabular}{l}
The coordinates of \\
orthocentre of \( \triangle A B C \) are
\end{tabular} & (S) & \( (-4,7) \) \\
\hline & (T) & \( (0,63) \) \\
\hline
\end{tabular}
(1) (A) \( \rightarrow \) (T), (B) \( \rightarrow \) (P), (C) \( \rightarrow \) (Q), (D) \( \rightarrow \) (S)
(2) (A) \( \rightarrow \) (P), (B) \( \rightarrow \) (R), (C) \( \rightarrow \) (T), (D) \( \rightarrow \) (Q)
(3) (A) \( \rightarrow \) (Q), (B) \( \rightarrow \) (S), (C) \( \rightarrow \) (P), (D) \( \rightarrow \) (R)
(4) (A) \( \rightarrow(\mathrm{Q}),(\mathrm{B}) \rightarrow(\mathrm{P}),(\mathrm{C}) \rightarrow(\mathrm{S}),(\mathrm{D}) \rightarrow(\mathrm{T}) \)


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