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X + iy = (a+ib)/(a-ib) , …

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

?Garima Sharma? 6 years, 1 month ago

GK

Mouli Mukherjee 6 years, 1 month ago

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
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