**Core Concept**
The after-coming head in a breech delivery refers to the final stage of delivery, where the baby's head is delivered after the body. This stage requires careful maneuvering to prevent complications. The correct technique involves rotating the baby's head to facilitate delivery.

**Why the Correct Answer is Right**
The after-coming head is usually delivered by **internal podalic version** and **internal cephalic rotation**. This involves rotating the baby's head to a more favorable position, allowing it to pass through the birth canal more easily. The operator will typically use their hands to guide the baby's head and facilitate delivery. In the case of a chin-to-pubes presentation, the baby's head is rotated so that the chin is towards the mother's pubic bone.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not specify a recognized technique for delivering the after-coming head in a breech delivery.
**Option B:** This option is incorrect because it does not accurately describe the typical maneuvers involved in delivering the after-coming head.
**Option C:** This option is incorrect because it is a vague term that does not provide clear guidance on how to deliver the after-coming head.

**Clinical Pearl / High-Yield Fact**
In breech deliveries, the after-coming head is typically delivered with the baby's face towards the mother's right shoulder, not the pubic bone. This is because the baby's head is usually rotated to a more favorable position to facilitate delivery.

**Correct Answer: D. Internal podalic version and internal cephalic rotation.**