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Consider two complex numbers alphaa n db...

Consider two complex numbers `alphaa n dbeta` as `alpha=[(a+b i)//(a-b i)]^2+[(a-b i)//(a+b i)]^2`, where a ,b , in R and `beta=(z-1)//(z+1), w here |z|=1,` then find the correct statement: both `alphaa n dbeta` are purely real both `alphaa n dbeta` are purely imaginary `alpha` is purely real and`beta` is purely imaginary `beta` is purely real and `alpha` is purely imaginary

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Consider two complex numbers alpha and beta as alpha=[(a+b i)//(a-b i)]^2+[(a-b i)//(a+b i)]^2 , where a ,b in R and beta=(z-1)//(z+1), w here |z|=1, then find the correct statement:

Consider two complex numbers alphaa n dbeta as alpha=[(a+b i)//(a-b i)]^2+[(a-b i)//(a+b i)]^2 , where a ,b , in R and beta=(z-1)//(z+1), w here |z|=1, then find the correct statement: (a)both alphaa n dbeta are purely real (b)both alphaa n dbeta are purely imaginary (c) alpha is purely real and beta is purely imaginary (d) beta is purely real and alpha is purely imaginary

The correct statements are I: if alpha and beta are real and unequal then lambda and delta are also real.II: If alpha and beta are imaginary then lambda and delta are also imaginary.

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If z is a unimodular number (!=+-i) then (z+i)/(z-i) is (A) purely real (B) purely imaginary (C) an imaginary number which is not purely imaginary (D) both purely real and purely imaginary

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