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Class 12 · Mathematics
→On integers, (aRb) is defined when (a \equiv b \pmod{5}). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}). Why is it not transitive?
Class 12 · Mathematics
→On (A={2,3,4,6,12}), (aRb) is defined when (a) divides (b). Which statement correctly proves transitivity?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(a,b):a\le b\text{ and }b-a\le 1}). What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a<b+1). Is this relation transitive?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (|a|\le |b|). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). What is the nature of this relation?
Class 12 · Mathematics
→A relation (R) on a set is transitive. If ((p,q) \in R), ((q,r) \in R), and ((r,s) \in R), which pair must definitely be in (R)?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2),(2,3)}). What is the correct reason for failure of transitivity?
Class 12 · Mathematics
→On (A={1,2,4,8}), (aRb) is defined when (b) is a multiple of (a). What is the nature of this relation?
Class 12 · Mathematics
→On natural numbers, (aRb) is defined when (b=2a). Is this relation transitive?
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Is this relation transitive?
Class 12 · Mathematics
→On integers, (aRb) is defined when (a-b) is even. What is the correct conclusion about this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a-b\ge 0). What is the nature of this relation?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,3),(3,2),(2,4),(1,2),(3,4)}). Which pair is compulsory to add to make it transitive?
Class 12 · Mathematics
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,4)}). Choose the correct statement about this relation.
Class 12 · Mathematics
→On (A={1,2,3,4,5}), (R={(a,b):a+1=b}). Is this relation transitive?
Class 12 · Mathematics
→On the set of points in a plane, (P R Q) is defined when (P) and (Q) have the same (x)-coordinate. What is the nature of this relation?
Class 12 · Mathematics
→On real numbers, (aRb) is defined when (a^2=b^2). Is this relation transitive?
Class 12 · Mathematics
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