For a common-emitter configuration, if α and β have their usual meanings, the correct relationship between α and β is

As we know,In case of a common emitter configuration, DC current gain, α=ICIE.where, IC is collector current and IE is emitter current.AC current gain, β=ICIB  ………..(i)where, lB is base current.Also,   IE=IB+IC   …….(ii)Dividing Eq. (i) by IC, we get⇒ IEIC=IBIC+1   [from Eq. (i)]⇒ 1α=1β+1⇒α=β1+β