Yes,
@Hivaclibtibcharkwa, you need a mixture of a weak acid or base and its conjugate. So, yes, you can't have NaOH as one of the two components in a buffer.
However, as
@username_2 is explaining, you can use NaOH to make one of those components.
If I have 0.50 mol CH
3COOH and I add 0.25 mol NaOH, think of a limiting reagent problem. I will end up with 0.25 mol of CH
3CO
2Na, the sodium salt of acetic acid, and 0.25 mol of unreacted CH
3COOH as it is the reagent in excess. So, after all the NaOH is used up, I have a mixture with
[CH3COOH] : [CH3CO2-] = 1 : 1
which is perfect for a buffer.
With (A), I would have 0.50 mol of CH
3CO
2Na in water, which is not a buffer.
With (C), I would have a 1 : 1 mixture of CH
3CO
2Na and NaOH, which is but a buffer.
With (D), I would have 0.25 mol of Ba(CH
3CO
2)
2, which is not a buffer.