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Only functions given in (A) & (C) represent SHM.

1. The given velocity-position graph depicts that the motion of the particle is SHM.
2. In SHM, at t = 0, v = 0 and x = x_max.
3. So, option (a) is correct.
4. Only functions given in (A) & (C) represent SHM.

Correct answer: The given velocity-position graph depicts that the motion of the particle is SHM.

Solution

The question seems to suggest that the velocity-position graph and the functions in (A) and (C) represent SHM. Since SHM is characterized by a sinusoidal relationship between displacement and time, and velocity is proportional to the negative of displacement, the statement in (A) aligns with SHM. Thus, option (a) is correct.

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