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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
The equation cos⁡4x−(λ+2)cos⁡2x−(λ+3)=0{\cos ^4}x - \left( {\lambda + 2} \right){\cos ^2}x - \left( {\lambda + 3} \right) = 0 possesses a solution, if
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Correct option: C
−3≤λ≤−2- 3 \le \lambda \le - 2
Option C (−3≤λ≤−2- 3 \le \lambda \le - 2) is correct because it is the range of λ\lambda that satisfies the condition 0≤cos⁡2x ≤10 \le {\cos ^2}x\, \le 1.

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