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QJEEM21Maf839: JEE Main 2021 Mathematics - Class 11 JEEM21Maf839 Solution: For the statements p and q, consider the following compound…

For the statements p and q, consider the following compound statements :

(a) (∼q∧(p→q))→∼p( \sim q \wedge (p \to q)) \to \sim p

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

Then which of the following statements is correct?

Multiple Choice Options

  • A (b) is a tautology but not (a).
  • B (a) and (b) both are not tautologies.
  • C (a) and (b) both are tautologies.
  • D (a) is a tautology but not (b).

Step-by-Step Verified Solution

JEE Main 2021 (Online) 24th February Evening Shift Mathematics - Mathematical Reasoning Question 69 English Explanation
(b) is tautologies

∴\therefore a & b are both tautologies.

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