To determine which combination results in a basic buffer, we need to understand the concept of a buffer solution. A buffer solution is one that resists changes in its pH when an acid or base is added. Buffer solutions typically consist of a weak acid and its conjugate base, or a weak base and its conjugate acid.
For a basic buffer, we need to have a weak base and its conjugate acid. Let's analyze each option:
Among the given options, \(50 \,mL \,of\, 0 .1\, M \,NaOH\, + \,25 \,mL\, of \,0.1 \,M \, CH_3COOH\) forms a basic buffer because it results in the formation of a weak base (CH3COONa) and has some excess NaOH, helping resist changes in pH, thus acting as a basic buffer.