Verified Solution • 2025–26 Session moderate

QJEEM19Maab7c: JEE Main 2019 Mathematics - Class 11 JEEM19Maab7c Solution: The negation of the Boolean expression ~ s ∨ (~r ∧ s) is…

The negation of the Boolean expression ~ s ∨ (~r ∧ s) is equivalent to :

Multiple Choice Options

  • A ~ s ∧ ~ r
  • B r
  • C s ∨ r
  • D s ∧ r

Step-by-Step Verified Solution

~ s ∨ ( ~ r ∧ s)

≡ (~s ∨ ~r) ∧ (~s ∨ s)

≡ ( ~s ∨ ~r) ∧ t

≡ ~s ∨ ~ r ≡ ~ (s ∧ r)

∴ Negation of ~s ∨ (~r ∧ s) is s ∧ r

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