$A$ message signal is super-imposed with a carrier signal. The resulting modulating signal $C_m(t)$ is given by $C_m(t)=A_1 \sin \left(\omega_1 t\right)+A_2 \sin \left(\omega_2 t\right)-A_2 \sin \left(\omega_3 t\right)$,where $\omega_2 < \omega_1 < \omega_3$. The modulation index and the angular frequency of the message signal respectively,are

• A
  $\frac{A_2}{A_1}, \frac{\omega_3-\omega_2}{2}$
• B
  $\frac{2 A_2}{A_1}, \omega_3-\omega_2$
• C
  $\frac{A_1}{2 A_2}, \frac{\omega_3-\omega_2}{2}$
• D
  $\frac{2 A_2}{A_1}, \frac{\omega_3-\omega_2}{2}$