For a reversible process involving only pressure-volume work

Answer: Option C

Here the $$F$$ is Gibbs free energy and $$A$$ is Helmholtz free energy.
Since for an reversible process $$Tds=dU+PdV$$
For, constant temperature and constant pressure process the above equation can be written as
$$\begin{array}{rl}& d\left(TS-U\right)=PdV\\ & \Rightarrow d\left(-A\right)>PdV\\ & \Rightarrow {\left(dF\right)}_{T,P}=0.\end{array}$$
For reversible process.