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The values of a and b so that the functi...

The values of a and b so that the function `f(x) = {{:(x + a sqrt(2) sin x",",0 le x lt pi//4),(2 x cot x + b",",pi//4 le x le pi//2),(a cos 2 x - b sin x",",pi//2 lt x le pi):}` is continuous for `x in [0, pi]`, are

A

`a = (pi)/(6),b=-(pi)/(6)`

B

`a = -(pi)/(6), b = (pi)/(12)`

C

`a = (pi)/(6), b = -(pi)/(12)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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  17. Which of the following functions is differentiable at x = 0 ?

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  18. For x in R, f(x) =|log(e) 2-sinx| and g(x) = f(f(x)) , then

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