Match the following \begin{tabular}{|c|c|c|c|} \hline & List -I & & List -II \\ \hline \multirow....

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Match the following
\begin{tabular}{|c|c|c|c|}
\hline & List -I & & List -II \\
\hline \multirow[t]{2}{*}{ (A) } & \begin{tabular}{l}
If \( \alpha \) and \( \beta \) are the roots \\
of \( a x^{2}+b x+c=0 \), \\
where \( \quad a=2^{\log _{2}^{3}}-3^{\log _{3}^{2}} \), \\
\( b=1+2^{\sqrt{\log _{2}^{3}}}-3^{\sqrt{\log _{3}^{2}}} \)
\end{tabular} & (P) & \begin{tabular}{l}
Divisible \\
by 2
\end{tabular} \\
\hline & \begin{tabular}{l}
and \( c=\log _{2} \quad \log _{2} \) \\
\( \sqrt{\sqrt{\sqrt{\sqrt{\sqrt{2}}}}} \) \\
of \( \alpha \) and \( \beta \) is
\end{tabular} & (Q) & \begin{tabular}{l}
Divisible \\
by 4
\end{tabular} \\
\hline \multirow[t]{2}{*}{ (B) } & \begin{tabular}{l}
The sum of the solutions \\
of the equation
\end{tabular} & (R) & \begin{tabular}{l}
Divisible \\
by 6
\end{tabular} \\
\hline & \begin{tabular}{l}
\( |x-1|^{\log _{2} x^{2}-2 \log _{x}^{4}}=(x-1)^{7} \) \\
is
\end{tabular} & (S) & \begin{tabular}{l}
Divisible \\
by 8
\end{tabular} \\
\hline (C) & \begin{tabular}{l}
If \( 5\left(\log _{y} x+\log _{x} y\right)=26 \), \\
\( x y=64 \), then the value of \\
\( |x-y| \) is
\end{tabular} & (T) & \begin{tabular}{l}
Divisible \\
by 10
\end{tabular} \\
\hline
\end{tabular}
P
W
(1) \( \mathrm{P}, \mathrm{Q}, \mathrm{R} \)
B
C
(2) \( \mathrm{Q}, \mathrm{P} \)
\( \mathrm{P}, \mathrm{R} \)
\( \mathrm{P}, \mathrm{R}, \mathrm{T} \)
(3) \( \mathrm{P}, \mathrm{TR} \)
\( \mathrm{P}, \mathrm{S} \)
\( \mathrm{P}, \mathrm{Q}, \mathrm{R} \)
(4) \( \mathrm{Q}, \mathrm{T} \)
\( \mathrm{S}, \mathrm{R}, \mathrm{S} \)
R, P
\( \mathrm{P}, \mathrm{Q} \)


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