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Let f(x) ={(sin2x , if 0leqxleqpi/6),(ax...

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

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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OBJECTIVE RD SHARMA ENGLISH-CONTINUITY AND DIFFERENTIABILITY-Exercise
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