If the domain of the function log₅(18x - x² - 77) is (α, β) and t… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 29 January, Shift 2Functions

If the domain of the function $\log_5(18x - x^2 - 77)$ is $(\alpha, \beta)$ and the domain of the function $\log_{(x-1)}\left(\frac{2x^2 + 3x - 2}{x^2 - 3x - 4}\right)$ is $(\gamma, \delta)$ , then $\alpha^2 + \beta^2 + \gamma^2$ is equal to:

A
$195$
B
$174$
C
$186$
D
$179$

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