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Functions question

2025 · 29 Jan · Shift 2 · Q29
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  5. /2025 · 29 Jan · Shift 2 · Q29

Functions question

2025 · 29 Jan · Shift 2 · Q29

JEE MainMathematicsFunctionsMCQ+4 / −1
If the domain of the function log⁡5(18x−x2−77)\log_5(18x - x^2 - 77)log5​(18x−x2−77) is (α,β)(\alpha, \beta)(α,β) and the domain of the function log⁡(x−1)(2x2+3x−2x2−3x−4)\log_{(x-1)} \left( \frac{2x^2 + 3x - 2}{x^2 - 3x - 4} \right)log(x−1)​(x2−3x−42x2+3x−2​) is (γ,δ)(\gamma, \delta)(γ,δ), then α2+β2+γ2\alpha^2 + \beta^2 + \gamma^2α2+β2+γ2 is equal to:
  1. A
    186
  2. B
    179
  3. C
    195
  4. D
    174
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