" Example "14" If "x+iy=(a+ib)/(a-ib)," prove that "x^(2)+y^(2)=1

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

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

If x+iy = (a+ib)/aib .Prove that x^(2)+y^(2) =1 ?

x + iy = (a + ib) / (a-ib), provethat x ^ (2) + y ^ (2) = 1

If x+iy= frac{a+ib}{a-ib} , prove that x^2 + y^2 = 1

(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))