🛠️ JEE➗ Maths

If the domain of the function \(f\left(x\right)={\sin }^{-1}\left(\frac{x-1}{2x+3}\right)\) is \(R-(\alpha ,\beta )\), t…

Q1

If the domain of the function \(f\left(x\right)={\sin }^{-1}\left(\frac{x-1}{2x+3}\right)\) is \(R-(\alpha ,\beta )\), then \(12\alpha \beta\) is equal to :

[JEE Main 2024, 9 Apr (Shift 1)]

a

36

b

32

c

24

d

40

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