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Question

If A Δ B=AB, then 
  1. A=B
  2. AB=ϕ
  3. A Δ B=ϕ
  4. A Δ B=AB


Solution

The correct option is B AB=ϕ
A Δ B=(AB)(BA)A Δ B=AB(A(BA))(B(BA))=(AB)(AB)(A)(B)+(AB)=(AB)(AB)=(A)+(B)AB=ϕ

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