If alpha and beta are different complex number whit modulus of beta = 1, then find the modulus of ((beta - alpha)(1)-( conjugate of...

You need to consider the complex numbers and
such that:

The problem
provides the information that the absolute value of the complex number is 1, such
that:

=> c = 0 , d = 1 or c = 1, d = 0.

You need to
evaluate , such
that:

alpha)|/|(1 - bar alpha*beta)|

You need to evaluate beta -
alpha, such that:

=> |(beta - alpha)| = sqrt((a - c)^2 + (b -
d)^2)

You need to evaluate 1 - bar alpha*beta, such
that:

bc))

bc)

(ad - bc)^2)

(sqrt((a - c)^2 + (b - d)^2))/(sqrt((1 - (ac + bd))^2 + (ad -
bc)^2))

Considering ,
yields:

(sqrt(a^2 + (b - 1)^2))/(sqrt((1 - b)^2 + a^2)) =
1

Considering ,
yields:

- 1)^2 + b^2))/(sqrt((1 - a)^2 + (b)^2)) =
1

Hence, evaluating the absolute value of
the complex number , under the given
conditions, yields