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Symmetric Closure

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

MathematicsIf (R={(1,2),(2,1),(2,3)}), which pair should be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R) is not symmetric, choose the correct statement about (R\cup R^{-1}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3}), what is the smallest symmetric extension of (R={(1,2),(2,1),(2,3)})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), what must be minimally added to make (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4)}) symmetric?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4}), what is the smallest symmetric extension of (R={(1,2),(2,1),(3,4)})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3}), which pair must be added to make (R={(1,2),(2,3)}) symmetric?Class 12Relations and FunctionsTypes of relationsEasy MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3)}) on (A={1,2,3}), which pair is missing for symmetry?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsFor (R={(1,2)}) on (A={1,2,3}), which minimum pair must be added to make it symmetric?Class 12Relations and FunctionsIntroduction to RelationsHard MathematicsIf (R={(1,2),(2,3),(3,1)}), which pairs must be added to make (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf (A={1,2,3}) and (R={(1,2),(3,3)}), what is the smallest relation needed to make (R) symmetric?Class 12Relations and FunctionsIntroduction to RelationsMedium