When a body moves with a constant speed along a circle

$$\begin{gathered} \text{W}=F.S\cos \theta \\ =F.S\cos 90°\left(\because \overline{F}\&\overline{S}\right)are always perpendicular \\ \therefore \text{W}=0 \end{gathered}$$

(or)

When a body is moving circular path with a constant speed external force is not required and its centripetal force and displacement always mutually perpendicular to each other hence 

$$\begin{gathered} \text{w}=0\text{,\hspace{0.17em}w}=\text{FS}\cos \theta ,\theta =90 \\ \text{w}=0 \end{gathered}$$

Option ‘C’ is correct

Option ‘A’ is incorrect velocity changes continuously

Option ‘B’ is incorrect both centripetal and tangential accelerations will act