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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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