A small mass m is attached to a massless string whose other end is fixed at P as shown in the figure. The mass is undergoing circular motion in the x-y plane with centre at O and constant angular speed $$\omega$$ If the angular momentum of the system, calculated about O and P are denoted by $$\overrightarrow{L_O}$$ and $$\overrightarrow{L_P}$$ respectively, then

A

$$\overrightarrow{L_O}$$ and $$\overrightarrow{L_P}$$ do not vary with time

B

$$\overrightarrow{L_O}$$ varies with time while $$\overrightarrow{L_P}$$ remains constant.

C

$$\overrightarrow{L_O}$$ remains constant while $$\overrightarrow{L_P}$$ varies with time.

D

$$\overrightarrow{L_O}$$ and $$\overrightarrow{L_P}$$ both vary with time.