NTA Abhyas JEE Main2020MathematicsMathematical ReasoningPractice
Which of the following option is incorrect?
Options
- A~ p ⇔ ~ q ≡ p ⇔ q
- Bp ⇔ ~ q ≡ p → ~ q ∧ ~ q → p
- C~ p ⇔ q ≡ ~ p ⇒ q
- D~ p ⇒ q ≡ p ∧ ∼ q
Correct answer
C. ~ p ⇔ q ≡ ~ p ⇒ q
Step-by-step solution
Option (D) is a theorem, hence (D) is correct For option (B), s ↔ t ≡ s → t ∧ t → s , hence (B) is correct For option (A), ~ p ⇔ ~ q ≡ p ⇔ ~ ~ q ≡ p ⟺ q Hence, (A) is correct For option (C), ~ p ⇔ q ≡ ~ p ⇔ q Hence, option (C) is incorrect