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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
The equation cos⁡2x+asin⁡x=2a−7\cos 2 x+a \sin x=2 a-7 possesses a solution if
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Correct option: B
2≤a≤62 \leq a \leq 6
Option B (2≤a≤62 \leq a \leq 6) is correct because the equation has a solution only when the value of sin⁡x\sin x derived from the quadratic equation lies between -1 and 1.

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