🛠️ JEE➗ Maths

If the domain of the function \(f\left(x\right)={\text{sin}}^{−1}\left(\frac{5−x}{3+2x}\right)+\frac{1}{{\text{log}}_{e}…

Q1

If the domain of the function

\(f\left(x\right)={\text{sin}}^{−1}\left(\frac{5−x}{3+2x}\right)+\frac{1}{{\text{log}}_{e}\left(10−x\right)}\) is \(\left(−∞,\alpha \left]\cup \right[\beta ,\gamma \right)−\left{\delta \right}\), then \(6\left(\alpha +\beta +\gamma +\delta \right)\) is equal to

[JEE Main 2026, 22 Jan (Shift 1)]

a

\(68\)

b

\(70\)

c

\(66\)

d

\(67\)

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