Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a....

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Let \( \Delta=\left|\begin{array}{ccc}-b c & b^{2}+b c & c^{2}+b c \\ a^{2}+a c & -a c & c^{2}+a c \\ a^{2}+a b & b^{2}+a b & -a b\end{array}\right| \) and the
\( \mathrm{P} \)
Equation \( p x^{3}+q x+r x+s=0 \) has roots \( a, b, c \) where \( a, b, c \in R^{+} \).
The value of \( \Delta \) is
(1) \( \frac{r^{2}}{p^{2}} \)
(2) \( \frac{r^{3}}{p^{3}} \)
(3) \( -\frac{s}{p} \)
(4) None of these


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