Match Matrix \begin{tabular}{|c|c|c|c|} \hline & Column-I & & \begin{tabular}{l} Column \\ -II \....
0Match Matrix
\begin{tabular}{|c|c|c|c|}
\hline & Column-I & & \begin{tabular}{l}
Column \\
-II
\end{tabular} \\
\hline (A) & \begin{tabular}{l}
If \( \alpha \) be the root of \\
\( 3 x^{\log _{3} 4}+4^{\log _{3} x}=64, \sqrt{\alpha}+1 \) \\
is
\end{tabular} & (P) & 6 \\
\hline (B) & \begin{tabular}{l}
The integral value of \( x \) in \\
\( \log _{2}^{2} x-\log _{2} x-2=0 \) is
\end{tabular} & (Q) & 4 \\
\hline (C) & \begin{tabular}{l}
The value of \( 4 \log _{2} x \) is \\
where \\
\( x=\sqrt{3+2 \sqrt{2}}+\sqrt{3-2 \sqrt{2}} \)
\end{tabular} & (R) & 3 \\
\hline (D) & \begin{tabular}{l}
If \( a^{2}+b^{2}=1 \), the value of \\
\( \log _{a b}\left(a^{3} b^{5}+a^{5} b^{3}\right) \)
\end{tabular} & (S) & 1 \\
\hline
\end{tabular}
(1) \( \mathrm{A} \rightarrow \mathrm{P}, \mathrm{B} \rightarrow \mathrm{S}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{Q} \)
(2) \( \mathrm{A} \rightarrow \mathrm{Q}, \mathrm{B} \rightarrow \mathrm{Q}, \mathrm{C} \rightarrow \mathrm{P}, \mathrm{D} \rightarrow \mathrm{R} \)
(3) \( \mathrm{A} \rightarrow \mathrm{S}, \mathrm{B} \rightarrow \mathrm{Q}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{P} \)
(4) \( \mathrm{A} \rightarrow \mathrm{P}, \mathrm{B} \rightarrow \mathrm{Q}, \mathrm{C} \rightarrow \mathrm{R}, \mathrm{D} \rightarrow \mathrm{S} \)
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