If alpha\ a n d\ beta are different comp...

If `alpha\ a n d\ beta` are different complex numbers with `|beta|=1,\ fin d\ |(beta-alpha)/(1- alphabeta)|`

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Given, `|beta|=1`
`implies" "betabar(beta)=1" or "beta=(1)/(beta)" "(1)`
Now, `|(beta-alpha)/(1-bar(alpha)beta)|=|((1)/(bar(beta))-alpha)/(1-bar(alpha)beta)|=|(1)/(bar(beta))||(1-alphabar(beta))/(1-bar(alpha)beta)|=(1)/(|beta|)|bar(1-alphabar(beta))/(1-bar(alpha)beta)|`
`=|(1-bar(alpha)beta)/(1-bar(alpha)beta)|=1`

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