. An AM signal and a narrow-band FM signal with identical carriers, modulating signals and modulation indices of 0.1 are added together. The resultant signal can be closely approximated by
(a) broadband FM
(b) SSB with carrier
(c) DSB-SC
(d) SSB without carrier
Standard equation for narrow band FM is given by
\begin{gathered}(t)=A_{C} \cos w_{c} t+\frac{A_{c} \beta}{2} \cos \left(w_{c}+w_{m}\right) \\t-\frac{A_{C} \beta}{2} \cos 9 w_{c}-w_{m}) \\S(t)_{A M}=A_{C} \cos w_{c} t+\frac{A_{C} m_{a}}{2} \\\cos \left(w_{c}+w_{m}\right) t+\frac{A_{C} m_{a}}{2} \cos \left(\omega_{c}-\omega_{m}\right) \\S(t)+S(t)_{A M}=\operatorname{carrier}+U S B=S S B \text { with carrier. }\end{gathered}Note: S(t)+S(t)_{A M}=S S B+S C
Hence, the correct option is (b).