Answer: A (POSTERIOR COLUMN PATHWAY)
Explanation: Corticospinal pathways are involved in motor pathway whereas others are involved in sensory. however, lateral spinothalamic pathway carry sensations like pain and temperature.
But,the posterior column and the anterior spinothalamic carries the sensation of touch.
The anterior spinothalamic pathway carries light touch while the posterior column carry deep touch and sensation.
Now from the question,fall and slip vibration and movement brings about the activation of posterior column, However,it carries information to the conscious center of the cerebrum whereas the spinothalamic pathway carries information to the thalamus in the brain.