Centre of mass

A binary star consists of two stars A (mass $2.2M_s$) and B (mass $11M_s$), where $M_s$ is the mass of the sun. They are separated by distance d and are rotating about their centre of mass, which is stationary. The ratio of the total angular momentum of the binary star to the angular momentum of star B about the centre of mass is

Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness. The mass of ink used to draw each of the two inner circles, and each of the two line segments is $m$. The mass of the ink used to draw the outer circle is $6m$. The coordinates of the centres of the different parts are: outer circle $(0,0)$, left inner circle $(-a,a)$, right inner circle $(a,a)$, vertical line $(0,0)$ and horizontal line $(0,-a)$. The $y$-coordinate of the centre of mass of the ink in this drawing is

STATEMENT-1: If there is no external torque on a body about its center of mass, then the velocity of the center of mass remains constant.

because

STATEMENT-2: The linear momentum of an isolated system remains constant.