If (x+iy) = (a+ib)/(a−ib), then prove that x^2+y^2=1 #complexnumbers #algebra #Class 11, #maths

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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 || if x+iy=a+ib/a-ib prove that x^2+y^2=1 ||
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