If the domain of the function \log _5 (18 x-x^2-77) is (\alpha, \beta) and the domain of the function \log _{(x-1)} (\frac{2 x^2+3 x-2}{x^2-3 x-4}) is (\gamma, \delta), then \alpha^2+\beta^2+\gamma^2 is equal to [29 Jan 2025 Shift 2]

JEE Main 29 Jan 2025 Shift 2 Paper

Section: Mathematics

Question : 7 of 75

Marks: +1, -0

If the domain of the function log5(18x−x2−77) is (α,β) and the domain of the function log(x−1)(‌

2x2+3x−2

x2−3x−4

) is (γ,δ), then α2+β2+γ2 is equal to

[29 Jan 2025 Shift 2]

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