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The most general value of x for which si...

The most general value of x for which `sinx+cosx= "min"_(a in R) {1, a^(2)-4a+6}` are given by

A

`2n pi+(pi)/(6)`

B

`2n pi+(pi)/(3)`

C

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

D

`npi`

Text Solution

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The correct Answer is:
C
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