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If the function f(x)={(x+a^(2)sqrt(2)...

If the function
`f(x)={(x+a^(2)sqrt(2)sinx",", 0 le x lt (pi)/(4)),(x cot x+b",",(pi)/(4) le x lt (pi)/(2)),(b sin 2x-a cos 2x",", (pi)/(2) le x le pi):}`
is continuous in the interval `[0,pi]` then the values of (a, b) are

A

(0,0)

B

`(0, (1)/(2))`

C

(0,1)

D

(-1,1)

Text Solution

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The correct Answer is:
A
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