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JEE Math Practice Question

Let F1(A, B, C) = (A $$ \wedge $$ $$ \sim $$ B) $$ \vee $$ [$$\sim$$C $$\wedge$$ (A $$\vee$$ B)] $$\vee$$ $$\sim$$ A and F2(A, B) = (A $$\vee$$ B) $$\vee$$ (B $$ \to $$ $$\sim$$A) be two logical expressions. Then :

  1. A.Both F1 and F2 are not tautologies
  2. B.F1 and F2 both are tautologies
  3. C.F1 is not a tautology but F2 is a tautology
  4. D.F1 is a tautology but F2 is not a tautology

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