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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
The set of all values of λ\lambda for which the equation cos⁡22x−2sin⁡4x−2cos⁡2x=λ\cos ^2 2 x-2 \sin ^4 x-2 \cos ^2 x=\lambda has a real solution xx, is
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Correct option: B
[−32,−1]\left[-\frac{3}{2},-1\right]
Option B ([−32,−1]\left[-\frac{3}{2},-1\right]) is correct because it represents the range of the given trigonometric expression after simplification and using the range of cos⁡22x\cos^2 2x.

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