If (a + ib) (c + id) (e + if) (g + ih) = A + i B, then (a 2 + b 2 ) (c 2 + d 2 ) (e 2 + f…

Mathematics · JEE Advanced · NTA ExamsComplex Numbers and Quadratic Equations

If (a + ib) (c + id) (e + if) (g + ih) = A + i B, then
(a2 + b2) (c2 + d2) (e2 + f2) (g2 + h2) is equal to
  1. A2 – B2
  2. A2 + B2
  3. A4 + B4
  4. A4 – B4

Answer

(B) A 2 + B 2

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