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Find the values of a and b so that the ...

Find the values of a and b so that the function
`f(x)={{:(x+asqrt2 sin x", "0 le x le pi//4),(2x cot x + b", "pi//4 le x le pi//2),(a cot 2x - b sin x", "pi//2 lt x le pi):}`
is continuous for ` 0 le x le pi`.

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
B
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