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Identity Relation

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}), (R={(1,1),(2,2),(3,3),(4,4)}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Medium MathematicsOn (A={1,2,3}), what is the nature of the identity relation (I={(1,1),(2,2),(3,3)})?Class 12Relations and FunctionsTransitive relationLevel 13Medium MathematicsWhich statement is true about the identity relation (I={(a,a):a\in A})?Class 12Relations and FunctionsTransitive relationLevel 15Easy MathematicsWhich relation can be immediately identified as transitive?Class 12Relations and FunctionsTransitive relationLevel 14Easy MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14Easy 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 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 MathematicsWhich statement is correct about the identity relation (I_A={(a,a):a\in A})?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Choose the correct statement about this relation.Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhich statement is correct about the identity relation (I={(a,a):a\in A})?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsChoose the correct option for (R={(1,1),(2,2),(3,3)}).Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsOn (A={1,2,3}), what type is the relation (R={(a,b):a=b})?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsIf (R={(1,1),(2,2),(3,3)}), what type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsIf (R={(x,y):x=y}) is defined on a set (A), what type of relation is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). Why is this relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (A={1,2,3,4,5}), how many reflexive relations have no non-diagonal pair?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsOn a four-element set, how many relations are reflexive and different from the identity relation?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (A={1,2,3,4,5}) and (R={(a,b):|a-b|+1\leq 1}), which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 8Expert MathematicsIf (R) is reflexive on (A) and (I_A) is the identity relation, what is correct about (R\cap I_A)?Class 12Relations and FunctionsReflexive relationLevel 7Hard MathematicsIf (R) is reflexive on (A) and (I_A) is the identity relation, what is correct about (R\cup I_A)?Class 12Relations and FunctionsReflexive relationLevel 7Hard