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Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(a,b):a) divides (b}). Which option correctly shows a transitivity check?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Is it transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), the relation is (R={(a,b):a<b}). What is the nature of this relation?
Class 12 · Mathematics · Expert
→Why is the universal relation (A\times A) transitive on any set (A)?
Class 12 · Mathematics · Expert
→What is the nature of the empty relation (\varnothing) on any non-empty set (A)?
Class 12 · Mathematics · Expert
→On (A={1,2,3}), (R={(1,2),(2,1)}). Why is this relation not transitive?
Class 12 · Mathematics · Expert
→On (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(3,4)}). What is the correct conclusion about this relation?
Class 12 · Mathematics · Expert
→On non-zero integers, (aRb) is defined when (a) divides (b). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (a\le b). Choose the correct statement.
Class 12 · Mathematics · Expert
→On real numbers, (aRb) is defined when (a<b). Why is this relation transitive?
Class 12 · Mathematics · Expert
→On the set of integers, (aRb) is defined when (a-b) is divisible by (3). What is the nature of this relation?
Class 12 · Mathematics · Expert
→On the set (A={1,2,3}), the relation (R={(1,2),(2,3),(1,1)}) is given. Which ordered pair must be added at minimum to make it transitive?
Class 12 · Mathematics · Expert
→On the set (A={1,2,3}), the relation (R={(1,1),(1,2),(1,3),(2,2),(2,3),(3,3)}) is given. What type of relation is it?
Class 12 · Mathematics · Hard
→On integers, (aRb) if (a=b) or (a-b) is divisible by (5). Choose the correct option about transitivity of (R).
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,5}), (aRb) if (a\le b) and (b-a\le2). Choose the correct statement about (R).
Class 12 · Mathematics · Hard
→On a set (A), (R) is a transitive relation. Which statement about (R^{-1}) is always true?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) if (a<b+1). What is the correct conclusion for (R)?
Class 12 · Mathematics · Hard
→On (A={1,2,3,4}), (R={(1,1),(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Choose the correct statement.
Class 12 · Mathematics · Hard
→On (A={1,2,3,4,5,6}), (aRb) if (a) and (b) leave the same remainder on division by (3). Choose the correct option for (R).
Class 12 · Mathematics · Hard
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