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Minimum Pairs

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

MathematicsIf an equivalence relation on (A={1,2,3}) contains ((1,2)) and ((2,3)), what is the minimum number of pairs in (R)?Class 12Relations and FunctionsEquivalence relationHard MathematicsOn (A={1,2,3,4,5}), (R={(1,1),(2,2),(3,3),(4,4),(5,5),(1,2),(2,1),(2,3),(3,2)}). Which minimum pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}) is given. Which minimum pairs must be added to make it an equivalence relation?Class 12Relations and FunctionsEquivalence relationExpert MathematicsIf an equivalence relation has (2) classes on a (7)-element set, what is the minimum possible number of pairs in the relation?Class 12Relations and FunctionsEquivalence relationHard MathematicsIf (R) is symmetric on (A={1,2,3,4}) and ((1,2),(2,3),(3,4)\in R), what is the minimum number of off-diagonal pairs in (R)?Class 12Relations and FunctionsSymmetric relationExpert MathematicsIf (R) is symmetric on (A={1,2,3}) and ((1,2),(2,3),(3,1)\in R), which pairs must also be in (R) at minimum?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={a,b,c}), a symmetric relation contains ((a,b)) and ((c,a)). Which pairs must be present at minimum?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 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 MathematicsHow many minimum pairs must be added to make (R={(1,4),(4,1),(2,5)}) symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (R={(1,4),(4,1),(2,3)}), what is the minimum number of pairs to be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIf (A={1,2,3,4}) and (R) is reflexive, what is the minimum possible number of ordered pairs in (R)?Class 12Relations and FunctionsReflexive relationExpert MathematicsOn a non-empty set with (n) elements, what is the minimum number of pairs in a reflexive relation?Class 12Relations and FunctionsReflexive relationHard MathematicsOn (A={1,2,3,4}), how many pairs must a reflexive relation have at minimum?Class 12Relations and FunctionsReflexive relationEasy MathematicsIf (A) has (n) elements, how many pairs are in the minimum reflexive relation on (A)?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn (A={1,2}), how many minimum pairs are needed for a relation to be reflexive?Class 12Relations and FunctionsReflexive relationEasy MathematicsIf (A) has 4 elements, what is the minimum number of pairs in a reflexive relation on (A)?Class 12Relations and FunctionsReflexive relationEasy