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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
The value of aa in order that f(x)=3sin⁡x−cos⁡x−2ax+bf(x)=\sqrt{3} \sin x-\cos x-2 a x+b decreases for all real value of xx, is given by
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Correct option: B
a≥1a \geq 1
Option B (a≥1a \geq 1) is correct because for the function to decrease for all real values of x, its derivative must be negative, leading to the inequality a≥1a \geq 1.

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