Distance travelled by the particle cannot be zero when displacement is not zero.
Distance is the actual length of the path covered by a moving body irrespective of the direction in which body trace.
When a body moves from one position to another, then shortest (straight line) distance between initial and final positions of the body along with direction is displacement.
|Displacement| \(\leq\) |Distance|
The above-mentioned relation implies that the distance is always greater than or equal to displacement.
Hence, if |Displacement| ≠ 0, then Distance ≠ 0