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Diagonal Pairs

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

MathematicsIf (A) has (6) elements and the identity relation is taken, how many ordered pairs are in the relation?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsWhich option gives the identity relation on (A={1,2,3,4})?Class 12Relations and FunctionsEquivalence relationLevel 18Medium MathematicsWhich option gives a reflexive relation on (A={1,2,3})?Class 12Relations and FunctionsEquivalence relationLevel 17Medium MathematicsFor (A={1,2,3}), which statement is correct about the identity relation (I={(1,1),(2,2),(3,3)})?Class 12Relations and FunctionsEquivalence relationLevel 16Medium MathematicsOn (A={1,2,3}), (R={(1,2),(2,1)}). Why is (R) not transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}) is given. Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn A = {1, 2, 3}, how many symmetric relations do not contain (1,1)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), relation (R={(1,2),(2,1),(2,3),(3,2),(1,1)}) is given. Choose the correct option.Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3),(3,1)}). Which property is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsFor the identity relation (I={(1,1),(2,2),(3,3)}) on (A={1,2,3}), what is the correct conclusion?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R) is symmetric and has no diagonal pair, which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf a symmetric relation on (A={1,2,3}) has exactly (5) pairs, which value is possible for the number of diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is symmetric on (A={1,2,3,4}) and has exactly (10) pairs, which value is impossible for the number of diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsHow many symmetric relations on (A={1,2,3,4}) contain exactly two diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsOn (A={1,2,3}), how many symmetric relations contain exactly one diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn a set with (5) elements, how many symmetric relations have no diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsIf A has n elements, how many symmetric relations on A contain no diagonal pair (a,a)?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn a set with (4) elements, how many symmetric relations have exactly (3) diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3}), the relation (R={(1,2),(2,1),(2,3),(3,2),(1,1)}) is given. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf a relation contains only diagonal pairs of the form ((a,a)), why will it be symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium