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Missing Self Pair

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsOn (A={1,2,3}), why is (R={(1,1),(2,2),(1,2),(2,1)}) not an equivalence relation?Class 12Relations and FunctionsEquivalence relationEasy MathematicsOn (A={1,2,3,4}), (R={(1,4),(4,1),(1,1),(4,4),(2,3),(3,2)}). Which missing pair is clearly needed to make it transitive?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,1),(1,3),(2,1),(3,2),(1,1),(2,2)}). Which pair is missing for transitivity?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,2),(2,1),(1,3),(3,1)}). Which pair is missing for transitivity?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4),(4,2)}). Which pair is necessarily required for transitivity?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,3),(3,1),(1,1),(2,4)}), why is (R) not transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,4),(4,2),(2,1),(1,2),(4,1)}), (R) is not transitive because which pair is missing?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,3),(1,3),(3,2)}), what is the correct reason that (R) is not transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,1)}). Why is it not transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsIf (R={(1,2),(2,3),(1,3),(3,2)}), (R) is not transitive because which pair is missing?Class 12Relations and FunctionsTransitive relationEasy MathematicsIf (R={(1,2),(2,1),(1,1)}), why is it not transitive?Class 12Relations and FunctionsTransitive relationEasy MathematicsOn A = {1, 2, 3}, let R = (A × A) \ {(2, 2)}. Which statement about R is correct?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), a relation contains ((1,1),(3,3),(4,4)) but not ((2,2)). What is the correct conclusion about the relation?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a+b>2}). (R) is not reflexive because which pair is missing?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (R={(a,b):a \equiv 0 \pmod{2}}). Why is this relation not reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsWhich relation is not reflexive on (A={1,2})?Class 12Relations and FunctionsReflexive relationEasy MathematicsIf (R) is not reflexive, what can be the simplest reason?Class 12Relations and FunctionsReflexive relationEasy MathematicsIf (R) is not reflexive, which situation may occur?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn (A={1,2,3}), (R={(1,1),(3,3),(1,2),(2,3)}). Which pair should be added to make it reflexive?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(3,4),(4,3)}). Which property fails immediately?Class 12Relations and FunctionsTypes of relationsHard