The correct option is
A Coleoptile
Coleoptile is the protective sheath that is covering the shoot in monocotyledons. They do not show division. Rather, they increase in size as they accumulate more water. Coleoptiles also have water vessels along the axis to provide a water supply.
Plumule is covered by coleoptile. The active growing region in a dicot embryo which forms shoot is the plumule. Thus, the correct answer is option C.