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Let f(x) be defined by f(x)={{:(sin2x,...

Let f(x) be defined by
`f(x)={{:(sin2x,,"if "0lt x le pi//6),(ax+b,,"if "pi//6lt x le1):}`
The values of a and b such that f and f' are continuous, 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

Text Solution

Verified by Experts

The correct Answer is:
C
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