Match the column.
\begin{tabular}{cc} \hline Column I & Column \\ (A) If \( f(x)=\left\{\begin{array}{cc}\sin \{x\} ; & x1 \\ \cos x+a, & x \geq 1\end{array}\right. \), where \( \{x\} \) & (p) 1 \end{tabular}
\( \mathrm{P} \) denotes the fractional part function, such that \( f(x) \) is continuous at \( x=1 \). If \( |K|=\frac{a}{\sqrt{2} \sin \frac{(4-\pi)}{4}} \), then \( K \) is
(B) If the function \( f(x)=\frac{1-\cos (\sin x)}{x^{2}} \) is
(q) 0 continuous at \( x=0 \), then \( f(0) \) is
(C) If \( f(x)=\left\{\begin{array}{cc}x, & x \in \theta \\ 1-x, & x \notin \theta\end{array}\right. \), then the values of \( x \)
(r) -1 at which \( f(x) \) is continuous, is
(D) If \( f(x)=x+\{-x\}+[x] \), where \( [x] \) and \( \{x\} \) represent grcatest integer and fractional part of \( x \), then the values of \( x \) at which \( f(x) \) is discontinuous, is
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