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Two stars of mass \( m_{1} \) and \( m_{2} \) are part of a binary star system. The radii of their orbits are \( r_{1} \) and \( r_{2} \) respectively, measured from the C.M. of the system. The magnitude of acceleration of \( m_{1} \) is
[DUMET 2010]
(a) \( \frac{m_{1} m_{2} G}{\left(r_{1}+r_{2}\right)^{2}} \)
(b) \( \frac{m_{1} G}{\left(r_{1}+r_{2}\right)^{2}} \)
(c) \( \frac{m_{2} G}{\left(r_{1}+r_{2}\right)^{2}} \)
(d) \( \frac{\left(m_{1}+m_{2}\right)}{\left(r_{1}+r_{2}\right)^{2}} \)
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