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Let f(x) ={(sin2x 0leqxleqpi/6),(ax+b pi...

Let `f(x) ={(sin2x 0leqxleqpi/6),(ax+b pi/6ltxlt1):}` If `f(x)` and `f'(x)` are continuous then `a=` `b=`

A

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

B

`a=(1) /( sqrt(2)),b=(1)/(sqrt(2))`

C

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

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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