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Parity Relation

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

MathematicsOn integers, (aRb) holds when (a+b) is even. What type of relation is this?Class 12Relations and FunctionsEquivalence relationMedium MathematicsOn (A={1,2,3,4,5,6}), (aRb) is defined when (a) and (b) are both even or both odd. What is the nature of this relation?Class 12Relations and FunctionsTransitive relationExpert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\text{ is odd}}). Choose the correct conclusion about (R).Class 12Relations and FunctionsTransitive relationHard MathematicsOn the integers, define aRb when a+b is even. Is R transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(a,b):a,b\in\mathbb{Z}\text{ and }a+b\text{ is even}}), which option is correct for (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (A={1,2,3,4}) and (R) contains exactly those pairs in which both numbers are odd or both numbers are even, which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+2b\text{ is even}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsFor (R={(a,b):a+b\text{ is even}}) on (A={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 even}}) is given. Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). Choose the correct statement for (R).Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a+b) is odd. What type of relation is it?Class 12Relations and FunctionsTypes of relationsHard MathematicsIf on (A={1,2,3,4}), (aRb) when (a) and (b) are both even or both odd, which pair belongs to the relation?Class 12Relations and FunctionsIntroduction to RelationsMedium MathematicsIf the relation on (A={1,2,3,4}) is same parity, what is true about ((1,4))?Class 12Relations and FunctionsIntroduction to RelationsMedium