Let α₁ and β₁ be the distinct roots of 2x² + (cosθ)x - 1 = 0, θ ∈… | JEE Main 2025 Mathematics PYQ

MCQEasyJEE Main 2025 · 22 January, Shift 2Nature of Roots & Formation of Equations

Let $\alpha_1$ and $\beta_1$ be the distinct roots of $2x^2 + (\cos\theta)x - 1 = 0, \ \theta \in (0, 2\pi)$ . If $m$ and $M$ are the minimum and the maximum values of $\alpha_1^4 + \beta_1^4$ , then $16(M + m)$ equals:

A
$25$
B
$24$
C
$17$
D
$27$

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