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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।

MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). What is (R\cup R^{-1})?Class 12Relations and FunctionsSymmetric relationExpert MathematicsFor any relation R, which statement about R ∪ R⁻¹ is always true?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(2,4),(4,2),(3,4)}). How many minimum pairs must be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). Which minimum pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationExpert MathematicsFor a relation (R), what is the smallest symmetric relation that contains (R)?Class 12Relations and FunctionsSymmetric relationExpert MathematicsFor any relation R, which statement about R ∪ R⁻¹ is always true?Class 12Relations and FunctionsSymmetric relationExpert MathematicsFor any relation R, which statement about R∪R⁻¹ is always true?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhich is the smallest symmetric relation on (A={1,2,3}) containing ((1,2)) and ((2,3))?Class 12Relations and FunctionsSymmetric relationHard MathematicsA directed graph has arrows (1\to2), (2\to1), (2\to3), and no other arrows. What must be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhat is the symmetric closure of (R={(1,1),(1,2),(2,1),(2,3)})?Class 12Relations and FunctionsSymmetric relationHard MathematicsHow many pairs will be in the smallest symmetric relation containing (R={(1,2),(2,3),(3,1)})?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhich relation needs at least one pair to be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(3,1)}). What is the minimum number of pairs to add to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsFor any relation (R), what type of relation is (R\cup R^{-1}) always?Class 12Relations and FunctionsSymmetric relationHard MathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which minimum pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsWhich option gives the correct minimum correction for making the relation symmetric?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf (R={(1,2),(2,1),(1,3),(3,1),(2,4)}), what is the minimum number of pairs needed to make it symmetric?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf (R={(1,3),(3,1),(2,4)}), which pair is sufficient to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationMedium MathematicsIf (R={(1,2),(2,1),(3,4)}), which pair should be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R={(1,3),(3,1),(2,3)}), what should be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationEasy