The most general values of \( x \) for which \( \sin x+\cos x=\min _{a \in R}\left\{1, a^{2}-4 a....

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The most general values of \( x \) for which
\( \mathrm{P} \)
\( \sin x+\cos x=\min _{a \in R}\left\{1, a^{2}-4 a+6\right\} \) is given by
W.
(where \( n \in I \) )
(1) \( 2 n \pi \)
(2) \( 2 n \pi+\frac{\pi}{2} \)
(3) \( n \pi+(-1)^{n} \frac{\pi}{4}-\frac{\pi}{4} \)
(4) None of these


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