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If the function f defined on (pi/6,pi/3)...

If the function f defined on `(pi/6,pi/3)` by `{{:((sqrt2 cos x -1)/(cot x -1)" , " x ne pi/4),(" is continuous,"),(" k , "x=pi/4 ):}`
then k is equal to

A

2

B

`(1)/(2)`

C

1

D

`(1)/(sqrt(2))`

Text Solution

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The correct Answer is:
B
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