If for some \alpha, \beta ; \alpha \leq \beta, \alpha+\beta=8 and \sec ^2 (\tan ^{-1} \alpha) + {\cosec}^2 (\cot ^{-1} \beta) =36, then \alpha^2+\beta is _____ [24 Jan 2025 Shift 1]

JEE Main 24 Jan 2025 Shift 1 Paper

Section: Mathematics

Question : 25 of 75

Marks: +1, -0

If for some α,β;α≤β,α+β=8 and sec2(tan−1α)+ cosec2(cot−1β)=36, then α2+β is _____

[24 Jan 2025 Shift 1]

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