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

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

A

`2 n pi `

B

`2 n pi +(pi)/(2)`

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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