Verified Solution • 2025–26 Session moderate

QJEEM21Ma79d2: JEE Main 2021 Mathematics - Class 11 JEEM21Ma79d2 Solution: If the Boolean expression is a tautology, then and are…

If the Boolean expression (p∧q)⊙(p⊗q)(p \wedge q) \odot (p \otimes q) is a tautology, then ⊙\odot and ⊗\otimes are respectively given by :

Multiple Choice Options

  • A ∨,→\vee , \to
  • B →\to , →\to
  • C ∧\wedge , ∨\vee
  • D ∧\wedge , →\to

Step-by-Step Verified Solution

(p∧q) → (p→q)(p \wedge q)\, \to \,(p \to q)

(p∧q) → (∼p∨q)(p \wedge q)\, \to \,( \sim p \vee q)

(∼p∨∼q) ∨(∼p∨q)( \sim p \vee \sim q)\, \vee ( \sim p \vee q)

∼p∨(∼q∨q)⇒\sim p \vee ( \sim q \vee q) \Rightarrow Tautology

⇒⊙⇒→\Rightarrow \odot \Rightarrow \to

⊗⇒→\otimes \Rightarrow \to

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