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The value of k in order that f (x) = sin x − cos x − kx + b decreases for all real values is given by :

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The value of k in order that f (x) = sin x − cos x − kx + b decreases for all real values is given by :

(a) k < √2 

(b) k ≥ √2 

(c) k ≥ 1 

(d) k < 1

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Correct option (b) k ≥ √2

Explanation:

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