Q67.The relation 𝑅= 𝑎, 𝑏: 𝑔𝑐𝑑𝑎, 𝑏= 1, 2𝑎≠𝑏, 𝑎, 𝑏∈ℤ is: (1) transitive but not reflexive (2) symmetric but not transitive (3) reflexive but not symmetric (4) neither symmetric nor transitive
What This Question Tests
This question tests the definitions of reflexive, symmetric, and transitive relations. One must check each property for the given relation R = {(a,b): gcd(a,b)=1, 2a≠b, a,b ∈ Z}.
Concepts Tested
📚 NCERT Sections This Tests
14.2 — Which Of The Statements Given In Exercise 14.1 Is True For P-Type
Physics Class 12 · Chapter 14
14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
12.1 — (A) No Different From
Physics Class 12 · Chapter 12
12.1 (a) No different from (b) Thomson’s model; Rutherford’s model (c) Rutherford’s model (d) Thomson’s model; Rutherford’s model (e) Both the models
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.
📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Types of Relations
- Year
- 2023
- Shift
- 24 Jan Shift 1
- Q Number
- Q67
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
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