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If two discs of moment of inertia \( I_{1} \) and \( I_{2} \) rotating about collinear axis passing through their centres of mass and perpendicular to their plane with angular speeds \( \omega_{1} \) and \( \omega_{2} \) respectively in opposite directions are made to rotate combinedly along same axis, then the magnitude of angular velocity of the system is
(1) \( \frac{I_{1} \omega_{1}+I_{2} \omega_{2}}{I_{1}+I_{2}} \)
(2) \( \frac{I_{1} \omega_{1}-I_{2} \omega_{2}}{l_{1}+I_{2}} \)
(3) \( \frac{I_{1} \omega_{1}+I_{2} \omega_{2}}{\omega_{1}+\omega_{2}} \)
(4) \( \frac{I_{1} \omega_{1}-I_{2} \omega_{2}}{\omega_{1}-\omega_{2}} \)
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