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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}), how many reflexive relations are not the identity relation but may be the universal relation?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=2a}). Which statement about (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 7ExpertMathematicsOn (A={1,2,3}), how many reflexive relations are neither the identity relation nor the universal relation?Class 12Relations and FunctionsReflexive relationLevel 7HardMathematicsOn (A={1,2,3}), the identity relation (I={(1,1),(2,2),(3,3)}) is given. Choose the correct statement about (I).Class 12Relations and FunctionsReflexive relationLevel 9HardMathematicsIf (A={1,2,3,4}) and (R={(a,b):|a-b|\leq 0}), what is (R)?Class 12Relations and FunctionsReflexive relationLevel 9HardMathematicsWhat is the smallest reflexive relation on a set (A)?Class 12Relations and FunctionsReflexive relationLevel 8HardMathematicsWhich statement is always true?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsWhich relation on (A={1,2,3}) is reflexive but not only the identity relation?Class 12Relations and FunctionsReflexive relationLevel 9MediumMathematicsOn (A={1,2,3}), (R={(a,b):(a-b)^2=0}). How should (R) be identified?Class 12Relations and FunctionsReflexive relationLevel 8MediumMathematicsIf (R) is reflexive on (A), what can be said about (I_A\subseteq R)?Class 12Relations and FunctionsReflexive relationLevel 8MediumMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). What kind of subset of (A\times A) can (R) be called?Class 12Relations and FunctionsReflexive relationLevel 8MediumMathematicsIf (R) is reflexive on (A), which relation between the identity relation (I_A={(a,a):a\in A}) and (R) is correct?Class 12Relations and FunctionsReflexive relationLevel 7MediumMathematicsOn (A={1,2,3,4}), what type of relation is formed if ((3,3)) is removed from the identity relation?Class 12Relations and FunctionsReflexive relationLevel 7MediumMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). If any one extra pair from (A\times A) is added to (R), what will the new relation be?Class 12Relations and FunctionsReflexive relationLevel 7MediumMathematicsIf a relation on (A={1,2,3,4}) has only ((1,1),(2,2),(3,3),(4,4)), what is it called?Class 12Relations and FunctionsReflexive relationLevel 9EasyMathematicsWhich is the identity relation on (A={1,2,3})?Class 12Relations and FunctionsReflexive relationLevel 9EasyMathematicsOn (A={1,2,3}), if one pair is added to (R={(1,1),(2,2),(3,3)}), which added pair will still keep (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 8EasyMathematicsChoose the correct statement about the identity relation (I_A) on a set (A).Class 12Relations and FunctionsReflexive relationLevel 8EasyMathematicsOn (A={1,2,3}), what can (R={(1,1),(2,2),(3,3)}) be called?Class 12Relations and FunctionsReflexive relationLevel 8EasyMathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3)}), what is the correct statement about (R)?Class 12Relations and FunctionsReflexive relationLevel 7Easy