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Inverse 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 on (A), what is correct about (R^{-1})?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which statement about (R^{-1}) is correct?Class 12Relations and FunctionsReflexive relationMedium MathematicsIf (R) is not symmetric, choose the correct statement about (R\cup R^{-1}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is an equivalence relation, choose the correct statement about (R^{-1}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsFor any relation (R), which statement about (R\cup R^{-1}) is always true?Class 12Relations and FunctionsTypes of relationsExpert MathematicsFor any relation (R), which statement about (R\cap R^{-1}) is always true?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is a symmetric relation on a set, choose the correct statement about (R\cup R^{-1}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is reflexive and transitive, which statement is always true about (R^{-1})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (x,y) belongs to the inverse relation R^-1, which statement follows directly about R?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf (R) is transitive on a set, choose the correct statement about (R^{-1}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsChoose the correct statement about the inverse of the empty relation on (A={1,2,3}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf a relation (R) is symmetric, what is the correct statement about (R^{-1})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What type of relation is (R^{-1})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), (R={(a,b):a\le b}). What does its inverse relation correspond to?Class 12Relations and FunctionsTypes of relationsHard MathematicsA relation (R) on a set is symmetric. What is correct about its inverse relation (R^{-1})?Class 12Relations and FunctionsTypes of relationsHard MathematicsFor any relation (R), what is ((R^{-1})^{-1}) equal to?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}). What is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is a reflexive relation, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R) is a relation on a set (A), when will (R^{-1}) be symmetric?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsIf (R={(1,2),(2,4),(4,1)}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsHard