**Core Concept**
Dry socket, also known as alveolar osteitis, is a post-extraction complication characterized by the exposure of the bone and nerve endings in the socket. The management of dry socket involves the use of medications to reduce pain and inflammation.

**Why the Correct Answer is Right**
The correct answer is a local anesthetic and analgesic that provides relief from pain and inflammation. **Xylometazoline** is an imidazoline derivative that has vasoconstrictive properties, which help reduce bleeding and inflammation in the socket. Additionally, its analgesic properties provide relief from pain. The combination of vasoconstriction and analgesia makes it an essential medication in the management of dry socket.

**Why Each Wrong Option is Incorrect**
**Option A:** **Paracetamol** is not specifically used for the management of dry socket as it does not address the local inflammation and pain in the socket.

**Option B:** **Doxycycline** is an antibiotic that may be used in some cases of dry socket, but it is not a primary treatment for pain and inflammation.

**Option C:** **Corticosteroids** may be used to reduce inflammation, but they are not the primary treatment for dry socket and are not as effective as vasoconstrictive agents like xylometazoline.

**Clinical Pearl / High-Yield Fact**
In the management of dry socket, it's essential to note that the use of vasoconstrictive agents like xylometazoline can help reduce the risk of further complications and promote healing.

**Correct Answer:** C. Xylometazoline.