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

MathematicsOn (A={1,2,3,4}), how many pairs will the transitive closure of (R={(1,2),(2,3),(3,4)}) contain?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A) has (n) elements, what is the number of relations in which self-pairs are unrestricted and distinct-element pairs are chosen symmetrically?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A={1,2,3,4,5}), what is the minimum number of pairs in a reflexive relation?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4,5}), the classes of (R) are ({1,3,5}) and ({2,4}). How many pairs will be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4}), the equivalence classes of (R) are ({1,2}) and ({3,4}). How many ordered pairs are in (R)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4}), (R) is an equivalence relation with classes ({1,3}) and ({2,4}). How many ordered pairs are in (R)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (A={1,2,3,4,5}) and (R) is a reflexive relation, what is the minimum number of pairs in (R)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf (A={1,2,3,4}) and (R) is a reflexive relation, what is the maximum number of pairs in (R)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsFor a five-element set A, how many symmetric relations on A contain no diagonal ordered pair (a,a)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsIf a relation on a 3-element set is both reflexive and antisymmetric, how many such relations are possible?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf A has n elements, what is the number of symmetric relations on A?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (A) has (5) elements, what is the number of symmetric relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsFor a four-element set A, how many relations are symmetric but not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf A has 4 elements, how many irreflexive relations are possible on A?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (A) has (n) elements, the number of symmetric relations is equal to which expression?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf A has 3 elements, how many antisymmetric relations are possible on A?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A) has (n) elements, what is the number of reflexive relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf A has 3 elements, how many irreflexive relations can be defined on A?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A) has (6) elements, how many pairs are in the universal relation?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsIf (A) has (6) elements, how many pairs are in the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 6Easy