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Class 12 · Mathematics · Medium
→Which option gives a relation that is not transitive?
Class 12 · Mathematics · Medium
→Which option gives a relation that is reflexive and symmetric but not necessarily transitive?
Class 12 · Mathematics · Medium
→Which option has all three properties: reflexive, symmetric, and transitive?
Class 12 · Mathematics · Medium
→Which option gives a transitive relation on (A={1,2,3})?
Class 12 · Mathematics · Medium
→Which relation is transitive but generally not symmetric?
Class 12 · Mathematics · Medium
→Which property of an equivalence relation requires that if ((a,b)\in R) and ((b,c)\in R), then ((a,c)\in R)?
Class 12 · Mathematics · Medium
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Which pair must be added to make it an equivalence relation?
Class 12 · Mathematics · Easy
→If (aRb), (bRc), and therefore (aRc) are true, which property is shown?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(1,3),(3,1)}). Why is it not an equivalence relation?
Class 12 · Mathematics · Easy
→What is the correct meaning of the transitive property in an equivalence relation?
Class 12 · Mathematics · Easy
→If a relation is symmetric and transitive but not reflexive, what is the correct conclusion about equivalence relation?
Class 12 · Mathematics · Easy
→If a relation is reflexive and transitive but not symmetric, what will it be?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ((p,q)\in R), ((q,r)\in R), which pair will definitely belong to (R)?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Why is it not an equivalence relation?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,3),(3,2)}) is given. What type of relation is this?
Class 12 · Mathematics · Easy
→If (R) is reflexive, symmetric, and transitive, what is (R) called?
Class 12 · Mathematics · Easy
→If a relation is an equivalence relation, must it be transitive?
Class 12 · Mathematics · Easy
→Which is the correct identification of the transitive property?
Class 12 · Mathematics · Easy
→If (R) is an equivalence relation and ((a,b)\in R), ((b,c)\in R), what follows by the transitive property?
Class 12 · Mathematics · Easy
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