Statement-1: (p q) is equivalent to p q. Statement-2 : (p q) is a tautology.

JEE Main 2009 Mathematics question

Not in JEE syllabus

Statement-1: is equivalent to . Statement-2 : is a tautology.

(1)Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation for Statement-1
(2)Statement-1 is true, Statement-2 is true; Statement-2 is not a correct explanation for Statement-1
(3)Statement-1 is true, Statement-2 is falseCorrect
(4)Statement-1 is false, Statement-2 is true

Answer: (3)

is true exactly when p and q differ, so its negation is true exactly when p and q agree, i.e. $(p ↔

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Question ID VK-039180