All the points in the set S={(α+i)/(α-i):α∈R} lie on a

Question : All the points in the set S={(α+i)/(α-i):α∈R} lie on a (a) circle whose radius is √2.(b) straight line whose slope is -1.(c) circle whose radius is 1.(d) straight line whose slope is 1.Solution :Let z=(α+i)/(α-i)z ̅=(α-i)/(α+i)zz ̅=1|z|^2=1𝑇his is an equation…

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