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" 11.If "(x+iy)=((a+ib))/((a-ib))" ,prov...

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

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

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(i) If x-iy = sqrt((a-ib)/(c-id)) prove that (x^(2) + y^(2)) =(a^(2) + b^(2))/(c^(2) + d^(2))

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(i) If x+iy=(a+ib)/(a-ib) , prove that x^(2)+y^(2)=1 . (ii) If ((a+i)^(2))/(2a-i)=p+iq , prove that: p^(2)+q^(2)=((a^(2)+1)^(2))/(4a^(2)+1) .

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If x-iy = sqrt((a+ib)/(c-id)) , prove that (x^(2) + y^(2))^(2) = (a^(2) + b^(2))/(c^(2) + d^(2))

If (x+iy)=sqrt((a+ib)/(c+id)) then prove that (x^(2)+y^(2))^(2)=(a^(2)+b^(2))/(c^(2)+d^(2))