**Core Concept**
Benedikt's syndrome is a neurological disorder characterized by a combination of oculomotor nerve palsy, hemiparesis, and tremor, resulting from a lesion in the midbrain, specifically the red nucleus and the oculomotor nerve nucleus. This condition is often caused by a vascular accident, such as a stroke, or a tumor.

**Why the Correct Answer is Right**
The oculomotor nerve (cranial nerve III) controls most of the eye's movements, including upward, downward, and medial movement. A lesion in the midbrain can damage the oculomotor nerve, leading to oculomotor nerve palsy, which is characterized by ptosis (drooping eyelid), mydriasis (dilated pupil), and impaired eye movements. The red nucleus, a structure in the midbrain, plays a crucial role in motor coordination and is involved in the regulation of voluntary movements, including locomotion and posture.

**Why Each Wrong Option is Incorrect**
**Option A:** This statement is false. Benedikt's syndrome typically involves a contralateral hemiparesis, not a hemiplegia. Hemiparesis refers to weakness on one side of the body, whereas hemiplegia refers to paralysis on one side of the body.
**Option B:** This statement is true. Benedikt's syndrome is indeed characterized by tremor, specifically a resting tremor, which is a common feature of parkinsonian syndromes.
**Option C:** This statement is true. Benedikt's syndrome often involves a combination of oculomotor nerve palsy and hemiparesis, which are both characteristic features of this condition.

**Clinical Pearl / High-Yield Fact**
Benedikt's syndrome is a classic example of a "crossed" syndrome, where a lesion in one brain region causes symptoms on the opposite side of the body. This is due to the contralateral control of motor pathways in the brain.

**Correct Answer:** A.