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Reflexive Relation

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

MathematicsIf (R) is reflexive and (R\subseteq S\subseteq A\times A), what is true about (S)?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A={1,2,3,4,5}), what is the minimum number of pairs in a reflexive relation?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsLet A={1,2,3,4}. Which relation is symmetric and transitive but not reflexive on A?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (R) and (S) are reflexive relations on the same set, which statement is always true about (R\cap S)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (A={1,2,3,4}), what is the ratio of the number of reflexive relations to the number of all relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (A={1,2,3,4,5}) and (R) is a reflexive relation, what is the minimum number of pairs in (R)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (A={1,2,3,4}) and (R) is a reflexive relation, what is the maximum number of pairs in (R)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (R) and (S) are reflexive relations on the same set, what is true about (R\cap S)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (A) has (6) elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (A={1,2,3}), what is the ratio of the number of all relations to the number of reflexive relations?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf (A={1,2,3,4}), what is the minimum number of pairs that must be added to make the empty relation reflexive?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf (A) has (5) elements, how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf (A) has (4) elements, how many reflexive relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (A={1,2,3}) and (R) is a reflexive relation, what is the minimum number of ordered pairs in (R)?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,3)}). Choose the correct classification.Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (R) is reflexive and (S) is reflexive, what type is (R\cup S)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsFor a four-element set A, how many relations are symmetric but not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich statement is always false?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (R) and (S) are two reflexive relations on (A), what can be said about (R\cap S)?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsWhy is (R={(1,1),(2,2),(1,2),(2,1)}) on (A={1,2,3}) not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 4Medium