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For a common emitter configuration if α and β have their usual meaning the incorrect relationship between α and β is

$\frac{1}{\alpha}=\frac{1}{\beta}+1$

$\alpha =\frac{\beta}{1-\beta}$

$\alpha =\frac{\beta}{1+\beta}$

$\alpha =\frac{\beta^{2}}{1+\beta^{2}}$

Option B,D

$I_{b}+I_{C}=I_{e}$

$\Rightarrow \frac{I_{b}}{I_{c}}+1=\frac{I_{e}}{I_{c}}$

$\Rightarrow \frac{1}{\beta}+1=\frac{1}{\alpha}\Rightarrow \frac{1}{\alpha}=\frac{1+\beta}{\beta}$

$\Rightarrow \frac{\beta}{1+\beta}$

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