Match the statement in Column-I with statements in Column-II. \begin{tabular}{|c|l|c|l|} \hline ...

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Match the statement in Column-I with statements in Column-II.
\begin{tabular}{|c|l|c|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{|c|}{ Column-II } \\
\hline A. & \( f(x)=\sin ^{2} 2 \mathrm{x}-2 \sin ^{2} x \) & p. & \( \begin{array}{l}\text { Range contains } \\
\text { no natural number }\end{array} \) \\
\hline B. & \( f(x)=\frac{4}{\pi}\left(\sin ^{-1}(\sin \pi \mathrm{x})\right) \) & q. & \( \begin{array}{l}\text { Range contains } \\
\text { atleast one } \\
\text { integer }\end{array} \) \\
\hline C. & \( f(x)=1+\sqrt{\ln (\cos (\sin x))} \) & r. & \( \begin{array}{l}\text { Many one but not } \\
\text { even function }\end{array} \) \\
\hline D. & \( f(x)=\tan ^{-1}\left(\frac{x^{2}+1}{x^{2}+\sqrt{3}}\right) \) & s. & \( \begin{array}{l}\text { Both many one } \\
\text { and even function }\end{array} \) \\
\hline & t. & \( \begin{array}{l}\text { Periodic but not } \\
\text { odd function }\end{array} \) \\
\hline
\end{tabular}
(a) (A) \( \rightarrow \) p,q,s,t; (B) \( \rightarrow \) q, r ; (C) \( \rightarrow \) q,s ; (D) \( \rightarrow \) p,s
(b) (A) \( \rightarrow \mathrm{q}, \mathrm{s}, \mathrm{t} \); (B) \( \rightarrow \mathrm{r} \), s ; (C) \( \rightarrow \) q,s ; (D) \( \rightarrow \mathrm{p}, \mathrm{s} \)
(c) (A) \( \rightarrow \) p,s,t ; (B) \( \rightarrow \) q, r ; (C) \( \rightarrow \) q,s ; (D) \( \rightarrow \mathrm{p}, \mathrm{s} \)
(d) (A) \( \rightarrow \mathrm{p}, \mathrm{q}, \mathrm{s} ; \) (B) \( \rightarrow \) q, r ; (C) \( \rightarrow \mathrm{q}, \mathrm{s} ; \) (D) \( \rightarrow \mathrm{p}, \mathrm{s} \)
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