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If sqrt(3) sin x - cos x ="min"(alpha i...

If ` sqrt(3) sin x - cos x ="min"_(alpha in R){2,e^(2),pi, alpha^(2)-4alpha +7}`, then

A

(a)` x =2n pi, n in I `

B

(b)`x=2n pi +(2pi)/(3) , n in I `

C

(c)`x=npi +(-1)^(n)""(pi)/(4)+(pi)/(6), n in I `

D

(d)`x=npi +(-1)^(n)""(pi)/(4)-(pi)/(3), n in I `

Text Solution

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The correct Answer is:
B
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