Step 1: Definition.
Tollen's reagent is an ammoniacal silver(I) solution containing the \([\mathrm{Ag(NH_3)_2}]^+\) (diamminesilver(I)) complex, usually present as \([\mathrm{Ag(NH_3)_2}]\mathrm{OH}\).
Step 2: Role.
It oxidizes aldehydes to acids and gets reduced to metallic silver (silver mirror test).
Step 3: Eliminate wrong options.
(B) \(\mathrm{Cu(OH)_2}\) and (D) \(\mathrm{CuO}\) are used in Fehling’s/Benedict’s tests; (C) \(\mathrm{Ag_2O}\) is not the ammoniacal complex.
Step 4: Conclusion.
Therefore, \([\mathrm{Ag(NH_3)_2}]^+\) is Tollen’s reagent \(\Rightarrow\) (A).