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" 39.If "x+iy=sqrt((1+i)/(1-i))," prove ...

" 39.If "x+iy=sqrt((1+i)/(1-i))," prove that "x^(2)+y^(2)=1

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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 .

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

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If x+iy=(2+i)/(2-i) then prove taht x^(2)+y^(2)=1