Answer:
True
Step-by-step explanation:
Work done can be defined by the formula,
It is depend on the displacement d which is the vector quantity and it is the shortest distance between the two points.
The property of the conservative force is that it is only depend on the initial and the final points and does not depend which path is taken by the object.
For example potential energy due to the force of gravity is conservative now consider the point of height h then drop the ball directly to the ground or through a ramp then the potential energy will remain same that is mgh because it depend on the height not on the path taken by the object.
Therefore, conservative forces are path independent.