If f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),"...

If `f(x) ={((3sinx-sqrt(3)cosx)/(6x-pi),",",x != (pi)/6),(a, ",",x = pi/6):}`
is continuous at `x = (pi)/6`, then a =

A

(a) `sqrt(3)`

B

(b) `1/(sqrt3)`

C

(c) `-sqrt(3)`

D

(d) `-1/(sqrt3)`

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The correct Answer is:

B

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