Let \alpha_\theta and \beta_\theta be the distinct roots of 2 x^2+(\cos \theta) x-1 =0, \theta \in(0,2 \pi). If m and M are the minimum and the maximum values of \alpha_\theta^4+\beta_\theta^4, then 16(M+m) equals: [22 Jan 2025 Shift 2]

JEE Main 22 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 18 of 75

Marks: +1, -0

Let αθ and βθ be the distinct roots of 2x2+(cos‌θ)x−1 =0,θ∈(0,2π). If m and M are the minimum and the maximum values of αθ4+βθ4, then 16(M+m) equals:

[22 Jan 2025 Shift 2]

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