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Let f(x)={{:(,sin2x,0 lt x le xpi//6),(,...

Let `f(x)={{:(,sin2x,0 lt x le xpi//6),(,ax+b,pi//6 lt x lt 1):}` If f(x) and f'(x) are continuous, then

A

`a=1,b=(1)/(sqrt2)+(pi)/(6)`

B

`a=(1)/(sqrt2),b=(1)/(sqrt2)`

C

`a=1,b=(sqrt3)/(2)-(pi)/(6)`

D

None of these

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