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Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,3),(3,1),(1,1),(3,3),(2,4)}). Is this relation transitive or not?
Class 12 · Mathematics · Expert
→On integers, (aRb) is defined when (a\equiv b \pmod{4}). What is the correct reason for transitivity?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }a,b\text{ are both even}}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (a=b) or (a<b). Which standard relation is this, and what is its nature?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}). Which added pair would fix one failure of transitivity?
Class 12 · Mathematics · Expert
→On the set of students of a school, (aRb) is defined when (a) and (b) have the same date of birth. What is the nature of this relation?
Class 12 · Mathematics · Expert
→On a set of lines, (lRm) is defined when (l) and (m) are parallel in the same plane. For distinct lines, what is the nature of this relation?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Which pair is necessary to add to make it transitive?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (|a|\ge |b|). Is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is odd}}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is even}}). Why is this relation transitive?
Class 12 · Mathematics · Expert
→A relation (R) on a set is transitive. If ((a,b) \in R), ((b,c) \in R), and ((c,d) \in R), which ordered pair must definitely be in (R)?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3)}). What is the correct reason for failure of transitivity?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5,6}), (R={(a,b):a\equiv b \pmod{3}}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (a^3\le b^3). Is this relation transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,1),(1,1),(2,2),(3,4),(4,3)}). Why is this relation not transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,6,12}), (aRb) is defined when (a) divides (b). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4,5}), (R={(a,b):b-a=1}). What is the nature of this relation?
Class 12 · Mathematics · Expert
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