Verified Solution • 2025–26 Session
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QJEEM19Ma29a2: JEE Main 2019 Mathematics - Class 11 JEEM19Ma29a2 Solution: Which one of the following Boolean expressions is a tautology?
Which one of the following Boolean expressions is a tautology?
Multiple Choice Options
- A (p ∨ q) ∧ (~ p ∨ ~ q)
- B (p ∨ q) ∨ ( p ∨ ~ q)
- C (p ∧ q) ∨ ( p ∧ ~ q)
- D (p ∨ q) ∧ ( p ∨ ~ q)
Step-by-Step Verified Solution
(p q) (p ~ q)
= p (q p) ~ q
= (p p) (q ~ q)
= p T
= T so first statement is tautology
= p
= (p
= p
= T so first statement is tautology