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Functions question

2024 · 9 Apr · Shift 1 · Q31
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  5. /2024 · 9 Apr · Shift 1 · Q31

Functions question

2024 · 9 Apr · Shift 1 · Q31

JEE MainMathematicsFunctionsMCQ+4 / −1
If the domain of the function f(x)=sin⁡−1(x−12x+3)f(x)=\sin ^{-1}\left(\frac{x-1}{2 x+3}\right)f(x)=sin−1(2x+3x−1​) is R−(α,β)\mathbf{R}-(\alpha, \beta)R−(α,β), then 12αβ12 \alpha \beta12αβ is equal to :
  1. A
    40
  2. B
    36
  3. C
    24
  4. D
    32
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