Can we prove by taking modulus on both the sides? 11 . I f a + i b = x + i 2 2 x 2 + 1 , p r o v e t h a t a 2 + b 2 = x 2 + 1 2 2 x 2 + 1 2 . Share with your friends Share 0 Aarushi Mishra answered this Dear student Yes you can take modulus on both sides and use its properties a+ib=x+i22x2+1a+ib=x+i22x2+1a+ib2=x+i22x2+12a+ib2=x+i42x2+12=x+i42x2+12a2+b2=x2+142x2+12a2+b2=x2+122x2+12 0 View Full Answer