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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=-2, b=(sqrt(3))/(2)+pi/3`

B

`a=2, b=(sqrt(3))/(2)- pi/3`

C

`a=-1, b=(sqrt(3))/(2)+ pi/6`

D

`a=1, b= (sqrt(3))/(2)- pi/6`

Text Solution

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The correct Answer is:
D
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