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Class 12 · Mathematics
→Which statement about the empty relation on a set is correct?
Class 12 · Mathematics
→On (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). It is symmetric and transitive, but why is it not reflexive?
Class 12 · Mathematics
→If (R) is symmetric and transitive, must (R) be reflexive?
Class 12 · Mathematics
→If (R) is reflexive and transitive, must (R) be an equivalence relation?
Class 12 · Mathematics
→If (R) is reflexive and symmetric, must (R) be an equivalence relation?
Class 12 · Mathematics
→If (R) is transitive and ((1,2),(2,1)\in R), which pairs must be present?
Class 12 · Mathematics
→If (R) is an equivalence relation and ((1,2)\in R), ((2,4)\in R), which pair must be in (R)?
Class 12 · Mathematics
→Which relation is neither reflexive nor symmetric, but transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if (a-b>0). Which property is correct?
Class 12 · Mathematics
→Which relation is reflexive, antisymmetric and transitive?
Class 12 · Mathematics
→Which relation is reflexive and symmetric but not transitive?
Class 12 · Mathematics
→Which relation is symmetric but not transitive?
Class 12 · Mathematics
→On natural numbers, (aRb) if (a) is a multiple of (b). Which statement is correct?
Class 12 · Mathematics
→A relation (aRb) holds if person (a) is taller than person (b). On a set of people, which property is correct?
Class 12 · Mathematics
→If (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which properties does (R) have?
Class 12 · Mathematics
→Why is transitivity absent in (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)})?
Class 12 · Mathematics
→Which relation on (A={1,2,3}) is transitive?
Class 12 · Mathematics
→Will the union of two transitive relations always be transitive?
Class 12 · Mathematics
→On real numbers, (aRb) if (a<b). Which statement is correct?
Class 12 · Mathematics
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