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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

1 Easy
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Application +4 | -1
If sin⁡  2x  cos⁡  2x  cos⁡  4x=λ\sin \,\,2x\,\,\cos \,\,2x\,\,\cos \,\,4x = \lambda has a solution, then λ\lambda lies in the interval
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Correct option: B
[−1/4,  1/4]\left[ { - 1/4,\;1/4} \right]
Option B ([ - 1/4, 1/4 ]) is correct because the range of sin⁡8x\sin 8x is [-1, 1], which constrains the possible values of λ\lambda.

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