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Class 12MathematicsRelations and FunctionsIntroduction to RelationsEasy
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Which relation is the universal relation on (A={1,2,3})?

Answer and explanation

Correct answer: (A\times A)

Step 1: The universal relation contains all ordered pairs of the Cartesian product. Step 2: So on (A), the universal relation is (A\times A). Step 3: Do not confuse the universal relation with the empty relation.

Related tags

RelationsUniversal-RelationCartesian-ProductIntroduction To RelationsRelations And FunctionsMathematicsClass 12 Mcq
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10 more MCQs
  1. 1If (A={1,2}), what does a relation on (A) mean?
  2. 2If (A={a,b}) and (B={1,2}), how many ordered pairs are there in (A\times B)?
  3. 3If (A={1,2}), how many total relations can be formed on (A)?
  4. 4Which statement is correct about the empty relation?
  5. 5If (A={1,2,3}), how many pairs are there in the universal relation on (A)?
  6. 6Which pairs are compulsory in the identity relation on a set (A)?
  7. 7If (A={1,2,3}), which is the identity relation?
  8. 8What condition is necessary for a relation (R) to be reflexive?
  9. 9On (A={1,2}), which property is definitely satisfied by (R={(1,1),(2,2),(1,2)})?
  10. 10Why is (R={(1,1),(2,2)}) not reflexive on (A={1,2,3})?
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