

Determine the Reaction with Reagent X:
The starting compound, CH3 − CH2 − CH2 − CH2 − Br, is a 1-bromobutane.
When treated with concentrated alcoholic NaOH at 80°C, an elimination reaction (dehydrohalogenation) occurs, leading to the formation of an alkene.
The product after elimination is CH3 − CH = CH − CH3 (1-butene).
Reaction with Reagent Y:
After the formation of 1-butene, adding HBr in the presence of acetic acid will convert it back into an alkyl halide by electrophilic addition.
The final product is 1-bromo-2-butene.
Conclusion:
The correct set of reagents for X and Y is:
X = conc. alc. NaOH, 80°C
Y = HBr/acetic acid
This corresponds to Option (3).
If the domain of the function \( f(x) = \dfrac{1}{\sqrt{10 + 3x - x^2}} + \dfrac{1}{\sqrt{x + |x|}} \) is \( (a, b) \), then \((1 + a)^2 + b^2\) is equal to: