Q59.The negation of the Boolean expression x ↔~y is equivalent to: (1) (~x ∧y) ∨(~x ∧~y) (2) (x ∧y) ∨(~x ∧~y) (3) (x ∧~y) ∨(~x ∧y) (4) (x ∧y) ∧(~x ∨~y)
What This Question Tests
This problem tests the understanding of logical equivalence and how to negate a biconditional statement, often solved using truth tables or known equivalences from Boolean algebra.
Concepts Tested
Formulas Used
p ↔ q ≡ (p → q) ∧ (q → p)
p ↔ q ≡ (p ∧ q) ∨ (~p ∧ ~q)
~(p ↔ q) ≡ p ↔ ~q
~(p ↔ q) ≡ (p ∧ ~q) ∨ (~p ∧ q)
📚 NCERT Sections This Tests
14.1 — In An N-Type Silicon, Which Of The Following Statement Is True:
Physics Class 12 · Chapter 14
14.1 In an n-type silicon, which of the following statement is true: (a) Electrons are majority carriers and trivalent atoms are the dopants. (b) Electrons are minority carriers and pentavalent atoms are the dopants. (c) Holes are minority carriers and pentavalent atoms are the dopants. (d) Holes are majority carriers and trivalent atoms are the dopants.
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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📋 Question Details
- Chapter
- Mathematical Reasoning
- Topic
- Boolean Algebra, Logical Equivalence
- Year
- 2020
- Shift
- 05 Sep Shift 1
- Q Number
- Q59
- Type
- MCQ
- NCERT Ref
- Class 11 Mathematics Ch 14: Mathematical Reasoning
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