if a+ib= c+i / c-i , where c is real part

prove that

a square + b square =1

and b / a =2c / c square-1

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Question

if a+ib= c+i / c-i , where c is real part
prove that
a square + b square =1
and b / a =2c / c square-1

Tushar Kohli · Accepted Answer

if a+ib= c+i / c-i , where c is real part prove that a square + b square =1 and b / a =2c / c square-1