Consider a nuclear reaction :
`Aoverset(lambda_(1))rarrB+C`
and `Boverset(lambda_(2))rarrC`
A converts into B and to C with decay with decay constant `lambda_(1)` B is alos stable nucleus which futher decays into stable nucleus C with decay constant `lambda_(2).` Mark the correct statement(s)
A. `(dN_(C))/(dt)=-(lambda_(1)N_(A)+lambda_(2)N_(B))`
B. `(dN_(A))/(dt)=-lambda_(1)N_(A)`
C. `(dN_(A))/(dt)=(lambda_(1)N_(A)+lambda_(2)N_(B))`
D. `(dN_(B))/(dt)=lambda_(1)N_(A)+lambda_(2)N_(B)`