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The most general values of 'x' for which...

The most general values of 'x' for which ` sin x + cos x =underset( a in R)("min")[1,a^(2)-4a+6]` are given by

A

`(n pi)/2+(-1)^n pi/4`

B

`2 n pi+(-1)^n pi/4`

C

`n pi+(-1)^(n+1) pi/4`

D

`n pi+(-1)^n pi/4-pi/4`.

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