Q71.Let N be the set of natural numbers and a relation R on N be defined by R = {(x, y) ∈N × N : x3 −3x2y −xy2 + 3y3 = 0}. Then the relation R is (1) symmetric but neither reflexive nor transitive (2) reflexive but neither symmetric nor transitive (3) reflexive and symmetric, but not transitive (4) an equivalence relation
What This Question Tests
This question evaluates the understanding of properties of relations (reflexivity, symmetry, transitivity) by applying their definitions to a given relation on natural numbers.
Concepts Tested
📚 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.
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Chemistry Class 11 · Chapter 5
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📋 Question Details
- Chapter
- Sets Relations Functions
- Topic
- Types of relations
- Year
- 2021
- Shift
- 27 Jul Shift 2
- Q Number
- Q71
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 1: Relations and Functions
More from this Chapter
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