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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
Number of integral value(s) of mm for which the equation sin⁡x−3cos⁡x=4m−64−m\sin x-\sqrt{3} \cos x=\frac{4 m-6}{4-m} has solutions, x∈[0,2π]x \in[0,2 \pi], is___.
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Correct option: A
4
Option A (4) is correct because the number of integral values of m for which the equation has solutions is 4, derived from the inequality condition.

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