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Odd Difference

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

MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }b-a\text{ is odd}}). What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn integers, (aRb) is defined when (a-b) is odd. This relation is not transitive. Which counterexample is correct?Class 12Relations and FunctionsTransitive relationExpert MathematicsIf (R={(a,b):a,b \in \mathbb{Z}\text{ and }a-b\text{ is odd}}), is (R) transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsOn integers, (aRb) if (a-b) is odd. Is this relation transitive?Class 12Relations and FunctionsTransitive relationMedium MathematicsFor the relation (R={(x,y):x-y\text{ is odd}}), where (x,y\in {1,2,3,4}), which statement is correct?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). What is (R)?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3,4}), what type is the relation (R={(a,b):a-b\text{ is odd}})?Class 12Relations and FunctionsSymmetric relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a-b\text{ is odd}}) is given. Choose the correct statement about (R).Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|) is odd(}). Why is (R) not reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3}), (R={(a,b):a-b\text{ is odd}}). Which statement is correct?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn integers, (R={(a,b):a-b\text{ is odd}}). Why is it not reflexive?Class 12Relations and FunctionsReflexive relationEasy MathematicsOn integers, (aRb) if (a-b) is odd. Why is this relation not reflexive?Class 12Relations and FunctionsTypes of relationsMedium