X + iy = (a+ib)/(a-ib) , prove that x² + y² =1 . (complex no. and quadratic eqn.)

X + iy = (a+ib)/(a-ib) , prove that x² + y² =1 . (complex no. and qu

1.	X + iy = (a+ib)/(a-ib) , prove that x² + y² =1 . (complex no. and quadratic eqn.)
Answer» GK Given, x+y i = (a+ib)/(a- ib)........(1)By conjugating both sides , we get X-- iy= (a-ib)/(a+ib).......(2)Multiplying both equations (1) and (2) ,(X+ib)(x-ib) = (a+ib)/(a-ib)×(a-ib)/(a+ib) X^2+y^2 = 1 , hence proved.You can solve such questions easily by this method