NVAMediumJEE Main 2025 · 24 January, Shift 1Nature of Roots & Formation of Equations

Mathematics Question from JEE Main 2025 · 24 January, Shift 1

If for some α,β\alpha, \beta; αβ\alpha \leq \beta, α+β=8\alpha + \beta = 8 and sec2(tan1α)+csc2(cot1β)=36,\sec^2(\tan^{-1} \alpha) + \csc^2(\cot^{-1} \beta) = 36, then α2+β\alpha^2 + \beta is:

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