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" If "(1-ix)/(1+ix)=a-ib," prove that "a...

" If "(1-ix)/(1+ix)=a-ib," prove that "a^(2)+b^(2)=1

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if (1-ix)/(1+ix)=a-ib ,then prove that a^2+b^2=1 (a,b x are real).

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If (x+iy) =(a+ib)/(a-ib) prove that (x^(2) +y^(2)) = 1 ?

If x+iy=(a+ib)/(a-ib) prove that x^(2)+y^(2)=1