If the Boolean expression (p ∧q ) ⊛ (p ⊗q ) is a tautology, then ⊛ and ⊗ are respectively given by

Question

Accepted Answer

Correct answer: A. a JEE Main 2021 option (1 ) (p ∧q ) ⟶ (p q ) = ∼ (p ∧q ) ∨ ( ∼p ∨q ) = ( ∼p ∨ ∼q ) ∨ ( ∼p ∨q ) = ∼p ∨ ( ∼q ∨q ) = ∼p ∨t =t Option (2 ) (p ∧q ) ∧ (p ∨q )= (p ∧q )( Not a tautology) Option (3 ) (p ∧q ) ∨ (p q ) = (p ∧q ) ∨ ( ∼p ∨q ) = ∼p ∨q (Not a tautology) Option (4 ) (p ∧q ) ∧ (p q ) = (p ∧q ) ∧ ( ∼p ∨q ) =p ∧q (Not a tautology)

$If the Boolean expression (p \land q) ⊛ (p \otimes q) is a tautology, then ⊛ and \otimes are respectively given by$

Solution

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