The correct answer to the question is option C, which states that the lateral oesophageal heart connects the dorsal vessel, supra oesophageal vessel, and ventral vessel. Let's understand this in detail:

1. The Oesophageal Heart:
The oesophageal heart is a specialized structure found in insects, particularly in insects belonging to the order Hemiptera. It is a muscular tube that functions as a pump, helping in the movement of hemolymph (insect blood) throughout the body.

2. The Dorsal Vessel:
The dorsal vessel is the main pumping organ of the insect circulatory system. It is a long, muscular tube that runs along the dorsal side of the insect's body. The primary function of the dorsal vessel is to pump hemolymph forward, distributing it to various parts of the body.

3. The Supra Oesophageal Vessel:
The supra oesophageal vessel is a part of the insect circulatory system that connects the dorsal vessel with the lateral oesophageal vessel. It is a short tube located above the oesophagus, and it acts as a connecting link between the dorsal vessel and the lateral oesophageal vessel.

4. The Lateral Oesophageal Vessel:
The lateral oesophageal vessel is another component of the insect circulatory system. It runs laterally on either side of the oesophagus. Its primary function is to transport the hemolymph from the dorsal vessel to different parts of the body.

5. The Ventral Vessel:
The ventral vessel is the counterpart of the dorsal vessel and runs along the ventral side of the insect's body. It acts as a return pathway for the hemolymph, bringing it back to the heart for re-pumping. The ventral vessel connects with the lateral oesophageal vessel to complete the circulation loop.

In summary, the lateral oesophageal heart connects the dorsal vessel, supra oesophageal vessel, and ventral vessel. It acts as a link between the main pumping organ (dorsal vessel), the vessel above the oesophagus (supra oesophageal vessel), and the return pathway (ventral vessel). This arrangement ensures the effective circulation of the insect's hemolymph throughout its body.

C