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(D) According to Newton's first law of motion,if the net force acting on a particle is zero,it moves with a constant velocity. In a displacement-time

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Both $(a)$ and $(c)$

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(D) According to Newton's first law of motion,if the net force acting on a particle is zero,it moves with a constant velocity. In a displacement-time $(x-t)$ graph,the velocity is represented by the slope of the graph. If the slope is constant,the velocity is constant,which implies that the acceleration is zero and the net force acting on the particle is zero. In the given graph,the segments $AB$ and $CD$ are straight lines,meaning the slope (velocity) is constant in these regions. Therefore,the force acting on the particle is zero in regions $AB$ and $CD$.

The figure shows the displacement of a particle moving along the $X-$axis as a function of time. The force acting on the particle is zero in the region:

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