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Class 12 · Mathematics · Easy
→If ((a,b)\in R) and ((b,c)\in R), but ((a,c)\notin R), what can be said about (R)?
Class 12 · Mathematics · Easy
→A relation (R) contains ((5,7)) and ((7,9)). If (R) is transitive, which pair must definitely be present?
Class 12 · Mathematics · Easy
→If (R={(3,3),(3,4),(4,4)}), what type of relation is (R)?
Class 12 · Mathematics · Easy
→Which relation correctly satisfies the condition of transitivity?
Class 12 · Mathematics · Easy
→If (R={(1,2),(2,1)}), which pairs are needed for (R) to become transitive?
Class 12 · Mathematics · Easy
→If (R={(1,1),(1,2),(2,2)}), choose the correct option for (R).
Class 12 · Mathematics · Easy
→If a relation (R) contains ((2,4)) and ((4,6)), which pair must be present for transitivity?
Class 12 · Mathematics · Easy
→On the set (A={1,2,3}), the universal relation (R=A\times A) is given. What can be said about it?
Class 12 · Mathematics · Easy
→On the set (A={1,2}), the empty relation (R={}) is given. Is it transitive?
Class 12 · Mathematics · Easy
→Which is the correct condition for a relation to be transitive?
Class 12 · Mathematics · Easy
→If (R={(1,2),(2,3)}), why is (R) not transitive?
Class 12 · Mathematics · Easy
→If (R={(1,2),(2,3),(1,3)}), choose the correct statement about (R).
Class 12 · Mathematics · Easy
→On the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. Is (R) transitive?
Class 12 · Mathematics · Easy
→What is the best way to prove that a relation is not transitive?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4}), (R={(2,2),(2,3),(3,4),(2,4)}). Is (R) transitive?
Class 12 · Mathematics · Easy
→If (R) is transitive and ((5,5) \in R), ((5,8) \in R), which pair is obtained by transitivity?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), which pair must be added to make (R={(1,3),(3,2)}) transitive?
Class 12 · Mathematics · Easy
→On (A={1,2,3}), (R={(1,3),(3,2),(1,2)}). Is (R) transitive or not?
Class 12 · Mathematics · Easy
→On (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ have the same remainder modulo }2}). Is (R) transitive?
Class 12 · Mathematics · Easy
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