The Given Equation,

This is an equation of simple harmonic motion where, i + 2j is showing the direction of the of the Particle in a straight line.

Hence, the Motion is a straight line motion. Therefore, Option (a). is correct.

Now,

Except the direction mentioned which is showing straight line nature, rest of the equation is same as that of the S.H.M.,

therefore, it is S.H.M.

Now, Since, it is S.H.M., therefore it is Oscillatory and Periodic Motion.

Hence, option (a), (c) and (d) are correct.