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If \( \Delta=\left|\begin{array}{lll}a_{11} & a_{12} & a_{13} \\ a_{21} & a_{22} & a_{23} \\ a_{31} & a_{32} & a_{33}\end{array}\right| \)
and \( c_{i j}=(-1)^{i+j} \) (determinant obtained by deleting ith row and \( j \) th column), then
\[
\left|\begin{array}{lll}
c_{11} & c_{12} & c_{13} \\
c_{21} & c_{22} & c_{23} \\
c_{31} & c_{32} & c_{33}
\end{array}\right|=\Delta^{2} .
\]
If \( a^{3}+b^{3}+c^{3}-3 a b c=-5 \) and \( A, B, C \) are \( A=b c-a^{2}, B= \) \( c a-b^{2} \) and \( C=a b-c^{2} \), value of \( a A+b B+c C \) is
(a) \( -5 \)
(b) 5
(c) 25
(d) \( -25 \)
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