Q75.Statement-1: The statement A →(B →A) is equivalent to A →(A ∨B). Statement-2: The statement ∼[(A ∧B) →(∼A ∨B)] is a Tautology. (1) Statement- 1 is false; Statement- 2 is true. (2) Statement-1 is true; Statement-2 is true; Statement- 2 is not correct explanation for Statement-1. (3) Statement-1 is true; Statement- 2 is false. (4) Statement-1 is true; Statement-2 is true; Statement- 2 is the correct explanation for Statement-1.
What This Question Tests
This question assesses the understanding of logical equivalences and tautologies by requiring the simplification of logical statements using standard logical identities or truth tables.
Concepts Tested
Formulas Used
A → B ≡ ~A ∨ B
De Morgan's laws
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📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Logical equivalence and tautology
- Year
- 2013
- Shift
- 09 Apr Online
- Q Number
- Q75
- Type
- Assertion Reasoning
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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