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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।

MathematicsHow many pairs are there in the identity relation on (A={1,2,3,4})?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsOn (A={1,2,3,4}), (R={(a,b):a=b}). What kind of relation is (R)?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsOn (A={1,2,3,4}), (R={(a,a):a \in A}). What can (R) be called?Class 12Relations and FunctionsReflexive relationLevel 7Easy MathematicsIf (R) is a reflexive relation on a set, what is true about (R\cap I), where (I) is the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (A={1,2,3,4}), how many relations on (A) are reflexive but not the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsFor a non-empty set (A), when will the identity relation and the universal relation be the same?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4)}). Choose the correct classification.Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsFor a non-empty set (A), which statement is always true about the identity relation?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsFor (A={1,2,3,4}), the identity relation (I={(1,1),(2,2),(3,3),(4,4)}) is given. Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsWhich relation can be reflexive, symmetric, antisymmetric and transitive all together?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhen are the identity relation and universal relation the same?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich relation is both symmetric and antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich relation can be both symmetric and antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich statement about identity relation is correct?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (A={1}), which statement is correct about the empty relation and identity relation?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsA relation (R) on (A={1,2,3}) is defined by (aRb) if and only if (a=b). What type is (R)?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsFor (R={(1,1),(2,2),(3,3)}) on (A={1,2,3}), choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsOn (A={1,2}), the relation (R={(1,1),(2,2)}) is known as which relation?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A={1,2,3}), which is the smallest reflexive relation?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsIs the identity relation antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 6Easy