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Class 12 · Mathematics · Hard
→On real numbers, (aRb) if and only if (a<b). What type of relation is it?
Class 12 · Mathematics · Hard
→On real numbers, (aRb) if and only if (a\le b). Choose the correct statement.
Class 12 · Mathematics · Hard
→For the empty relation (\varnothing) on (A={1,2,3}), which statement is correct?
Class 12 · Mathematics · Hard
→On (A={1,2,3}), (R={(1,1),(2,2),(1,2),(2,3),(1,3)}). What type of relation is it?
Class 12 · Mathematics · Hard
→On the set (A={1,2,3,4}), the relation (R={(a,b):a) divides (b) exactly(}) is given. What type of relation is it?
Class 12 · Mathematics · Medium
→If (R) is transitive and contains ((1,2),(2,3),(3,4)), which pair must be present?
Class 12 · Mathematics · Medium
→Which relation can be reflexive, symmetric, antisymmetric and transitive all together?
Class 12 · Mathematics · Medium
→Which relation is neither reflexive nor symmetric, but antisymmetric and transitive?
Class 12 · Mathematics · Medium
→For (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), choose the correct statement.
Class 12 · Mathematics · Medium
→A relation (aRb) holds if (|a|\le |b|). On real numbers, what type of relation is this?
Class 12 · Mathematics · Medium
→If (A) is a non-empty set, which property does the universal relation definitely satisfy?
Class 12 · Mathematics · Medium
→If (A) has (n) elements and is non-empty, which property does the empty relation satisfy?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Why is it not transitive?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,3)}). Is (R) transitive?
Class 12 · Mathematics · Medium
→Why is the union of two transitive relations not always transitive?
Class 12 · Mathematics · Medium
→What can be said about the intersection of two transitive relations?
Class 12 · Mathematics · Medium
→On a family of sets, (A R B) if (A\subset B). What type of relation is this?
Class 12 · Mathematics · Medium
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which statement is correct?
Class 12 · Mathematics · Medium
→On (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}) a partial order relation?
Class 12 · Mathematics · Medium
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