If the function f(x)= (K sin x +2 cos x)...

If the function `f(x)= (K sin x +2 cos x)/(sinx +cosx)` is increasing for all values of x, then

A

`K lt 1`

B

`K gt 1`

C

`K lt 2`

D

`K gt 2`

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The correct Answer is:

D

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