Verified Solution • 2025–26 Session moderate

QJEEM23Mad6d4: JEE Main 2023 Mathematics - Class 11 JEEM23Mad6d4 Solution: The negation of is equivalent to :

The negation of (p∧(∼q))∨(∼p)(p \wedge(\sim q)) \vee(\sim p) is equivalent to :

Multiple Choice Options

  • A p∧qp \wedge q
  • B p∧(∼q)p \wedge(\sim q)
  • C p∧(q∧(∼p))p \wedge(q \wedge(\sim p))
  • D p∨(q∨(∼p))p \vee(q \vee(\sim p))

Step-by-Step Verified Solution

amp;(p∧(∼q))∨(∼p)amp;≡(p∨∼p)∧(∼q∨∼p)amp;≡T∧(∼q∨∼p)amp;≡∼q∨∼p negation p∧q\begin{aligned}& (p \wedge(\sim q)) \vee(\sim p) \\\\& \equiv(p \vee \sim p) \wedge(\sim q \vee \sim p) \\\\& \equiv \mathrm{T} \wedge(\sim q \vee \sim p) \\\\& \equiv \sim q \vee \sim p \text { negation } p \wedge q\end{aligned}

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