Look at the drawing given in the figure which has been drawn with ink of uniform line-thickness....

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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 \( 6 \mathrm{~m} \). 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
[IIT-JEE 2009]
(a) \( a / 10 \)
(b) \( a / 8 \)
(c) \( a / 12 \)
(d) \( a / 3 \)
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