If \(p_1, p_2, p_3\) are altitudes of a triangle \(A B C\) from the vertices \(A, B, C\) respectively and if \(\Delta\) is the area of the triangle, \(S\) is the semi perimeter of the triangle, then
\(\frac{\operatorname{Cos} \mathrm{A}}{\mathrm{p}_1}+\frac{\operatorname{Cos} \mathrm{B}}{\mathrm{p}_2}+\frac{\operatorname{Cos} \mathrm{C}}{\mathrm{p}_3}\)

1. A \(\frac{1}{44}\left[\begin{array}{crr}12 & -9 & -1 \\ 4 & 8 & -4 \\ 0 & 11 & 11\end{array}\right]\)
2. B \(\frac{1}{44}\left[\begin{array}{crr}12 & 9 & 1 \\ 4 & 8 & -4 \\ 0 & 11 & 11\end{array}\right]\)
3. C \(\frac{1}{44}\left[\begin{array}{rrr}12 & 4 & 0 \\ -9 & 8 & 11 \\ -1 & -4 & 11\end{array}\right]\)
4. D \(\frac{1}{44}\left[\begin{array}{rrr}12 & 4 & 0 \\ -9 & 8 & 11 \\ -1 & 4 & -11\end{array}\right]\)