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Match the trigonometric equations given under List I with their respective general solutions given under
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List II.
\begin{tabular}{|c|c|c|c|}
\hline \multicolumn{2}{|r|}{ List I } & \multicolumn{2}{|r|}{ List II } \\
\hline (A) & \( \log _{12}(\tan \theta+3 \cot \theta)=\frac{1}{2} \) & (i) & \( 2 n \pi-\frac{\pi}{6}, \mathrm{n} \in \mathrm{Z} \) \\
\hline (B) & \begin{tabular}{l}
\( 2 \cos ^{4} x+\cos x-2 \cos x \) \\
\( \sin ^{2} x-3 \sin ^{2} x+1=0 \)
\end{tabular} & (ii) & \( n \pi+\frac{\pi}{3}, \mathrm{n} \in \mathrm{Z} \) \\
\hline (C) & \( \sin ^{2} 2 x-\cos ^{2} 8 x=\frac{1}{2} \cos .10 x \) & (iii) & \( n \pi \pm \frac{\pi}{4}, \mathrm{n} \in \mathrm{Z} \) \\
\hline (D) & \begin{tabular}{l}
\( 2 \cot ^{2} x+2 \sqrt{3} \cot x+ \) \\
\( 4 \operatorname{cosec} x+8=0 \)
\end{tabular} & (iv) & \( \frac{n \pi}{3} \pm \frac{\pi}{9}, \mathrm{n} \in \mathrm{Z} \) \\
\hline
\end{tabular}
(1) (A)-(iii), (B)-(iv), (C)-(i), (D)-(ii)
(2) (A)-(ii), (B)-(iii), (C)-(iv), (D)-( i)
(3) (A)-(iii), (B)-(i), (C)-(iv), (D)-(ii)
(4) (A)-(iv), (B)-(i), (C)-(ii), (D)-(iii)


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