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If \( \alpha \) and \( \beta \) are the roots of the equation, \( a \cos \theta+b \sin \theta=c \) then match the entries of Column-I with the entries of Column-II.
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{|c|}{ Column-II } \\
\hline A. & \( \sin \alpha+\sin \beta \) & p. & \( \frac{2 b}{a+c} \) \\
\hline B. & \( \sin \alpha \cdot \sin \beta \) & q. & \( \frac{c-a}{c+a} \) \\
\hline C. & \( \tan \frac{\alpha}{2}+\tan \frac{\beta}{2} \) & r. & \( \frac{2 b c}{a^{2}+b^{2}} \) \\
\hline D. & \( \tan \frac{\alpha}{2} \cdot \tan \frac{\beta}{2}= \) & s. & \( \frac{c^{2}-a^{2}}{a^{2}+b^{2}} \) \\
\hline
\end{tabular}
(a) \( \mathrm{A} \rightarrow \mathrm{r} ; \mathrm{B} \rightarrow \mathrm{s} ; \mathrm{C} \rightarrow \mathrm{p} ; \mathrm{D} \rightarrow \mathrm{q} \)
(b) \( \mathrm{A} \rightarrow \mathrm{q} ; \mathrm{B} \rightarrow \mathrm{r} ; \mathrm{C} \rightarrow \mathrm{p} ; \mathrm{D} \rightarrow \mathrm{q} \)
(c) \( \mathrm{A} \rightarrow \mathrm{q} ; \mathrm{B} \rightarrow \mathrm{r} ; \mathrm{C} \rightarrow \mathrm{q} ; \mathrm{D} \rightarrow \mathrm{p} \)
(d) \( \mathrm{A} \rightarrow \mathrm{q} ; \mathrm{B} \rightarrow \mathrm{r} ; \mathrm{C} \rightarrow \mathrm{s} ; \mathrm{D} \rightarrow \mathrm{p} \)
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