Simple Harmonic Motion and Uniform Circular Motion

A particle is acted simultaneously by mutually perpendicular simple harmonic motions $x=a\cos \omega t$ and $y=a\sin \omega t$. The trajectory of motion of the particle will be
 

In the given figure, what will be the sign of the velocity of the point $P´$, which is the projection of the velocity of the reference particle $P$ . $P$ is moving in a circle of radius $R$ in anticlockwise direction.
  

Figure shows the circular motion of a particle. The radius of the circle, the period, sense of revolution and the initial position are indicated in the figure. The simple harmonic motion of the $x‐$projection of the radius vector of the rotating particle $P$ is

 The displacement of a particle varies with time, according to the equation $y=a\sin \omega t+b\cos \omega t$