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Reflexive Symmetric

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

MathematicsWhich option gives a relation that is reflexive and symmetric but not necessarily transitive?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4}), how many symmetric relations must contain all diagonal pairs ((a,a))?Class 12Relations and FunctionsSymmetric relationExpert MathematicsIf (A) has (4) elements, how many symmetric relations necessarily contain all diagonal pairs?Class 12Relations and FunctionsSymmetric relationExpert MathematicsFor a set (A) with four elements, how many symmetric relations contain all diagonal pairs necessarily?Class 12Relations and FunctionsSymmetric relationHard MathematicsA set (A) has (5) elements. If every symmetric relation (R) must contain all diagonal pairs, how many such relations are possible?Class 12Relations and FunctionsSymmetric relationHard MathematicsIf (R) is reflexive on (A), which statement about (R\cup R^{-1}) is always true?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R) is reflexive and symmetric and has 12 total pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (R) is reflexive on (A), what can certainly be said about (R^{-1}\cap R)?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), (R) is reflexive and symmetric and has total 8 pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3}), (R) is reflexive and symmetric and has total 7 pairs. How many such relations are possible?Class 12Relations and FunctionsReflexive relationHard MathematicsIf (A={1,2,3,4}), what is the ratio of the number of symmetric relations to the number of reflexive and symmetric relations?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (A) has (6) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (A) has (5) elements, how many relations on (A) are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsHard MathematicsIf (A) has (n) elements, what is the number of relations on (A) that are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsHard MathematicsIf (A) has (5) elements, what is the number of relations that are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (R) is reflexive and symmetric, must (R) be an equivalence relation?Class 12Relations and FunctionsTypes of relationsMedium MathematicsWhich statement about the universal relation is correct?Class 12Relations and FunctionsTypes of relationsMedium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Which property is immediately clear?Class 12Relations and FunctionsTypes of relationsMedium MathematicsWhich relation is reflexive and symmetric on every set?Class 12Relations and FunctionsTypes of relationsEasy MathematicsWhich relation type has every element related to itself and also has the reverse of every related pair, but transitivity still needs to be checked?Class 12Relations and FunctionsTypes of relationsEasy