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Class 12 · Mathematics
→Consider the relation (R={(a,b):a) divides (b}) on the set of natural numbers. What type of relation is it?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,3),(1,1),(2,2),(3,3)}). Why is (R) not transitive?
Class 12 · Mathematics
→On the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) is given. Is (R) transitive?
Class 12 · Mathematics
→For (R={(1,2),(2,3),(1,3),(3,1)}), which pair is definitely needed to make it transitive?
Class 12 · Mathematics
→Which option gives a relation that is definitely transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,3),(3,3),(3,4),(1,4)}). Is (R) transitive?
Class 12 · Mathematics
→On integers, (aRb) if (a+b) is odd. Is (R) transitive?
Class 12 · Mathematics
→On integers, (aRb) if (a+b) is even. Is (R) transitive?
Class 12 · Mathematics
→On integers, (aRb) if (a \equiv b \pmod{3}). Is (R) transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Which transitivity chain is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(1,2),(2,1)}). Why is it not transitive?
Class 12 · Mathematics
→On (A={1,2}), (R={(1,2),(2,2)}). Is (R) transitive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2)}). Is (R) transitive?
Class 12 · Mathematics
→If (R) and (S) are transitive, what is generally true about (R \cup S)?
Class 12 · Mathematics
→If (R) and (S) are both transitive relations, which statement about (R \cap S) is correct?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1),(3,2)}). Which missing pairs are most clearly needed to make (R) transitive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(2,3),(1,1),(1,3)}). Which pair must be added to make (R) transitive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(2,3),(1,3)}). Which pair is additionally needed to make (R) transitive?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,1),(1,2),(2,3),(1,3),(3,3)}). Which check is most important for transitivity?
Class 12 · Mathematics
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