Hint: \(\vec P =m \vec v\)

Explanation: Let us analyse each statement one by one.
For statement (a), in general rotational motion, when the axis of rotation is not aligned with a symmetry axis, the angular momentum \( L\) and angular velocity \(\omega\) are not necessarily parallel. A good example of this is the wobbling motion of a wheel rotating about an axis that is slightly tilted relative to its symmetry axis — in such cases,\( L\) and \(\omega\) point moves in different directions.
For statement (b), even if the fixed axis passes through the center of mass (CM) of the body, it does not necessarily mean that the angular momentum \( L\)  and angular velocity \(\omega\) will be parallel.
For statement (c), as we know, in general translational motion, linear momentum is given by \(P=mv,\) so the direction of \(P\) always aligns with the velocity \(v.\)
For statement (d), in projectile motion, \(v\) and \(a\) are not always parallel.
Therefore, statements (a) and (c) are valid.
Hence, option (1) is the correct answer.