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

MathematicsOn integers, (aRb) if (a-b) is divisible by (6). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(a,b):a\equiv 2b \pmod{5}}) is defined on integers, is (R) symmetric?Class 12Relations and FunctionsSymmetric relationExpert MathematicsOn integers, (R={(a,b):a-b\equiv 1 \pmod{4}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn integers, (R={(a,b):a+b\equiv 0 \pmod{3}}). Which statement is correct for (R)?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is divisible by }2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\equiv -b \pmod{5}}). What is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\equiv b \pmod{2}}). What is the reason that (R) is reflexive?Class 12Relations and FunctionsReflexive relationMedium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}) and (S={(a,b):a-b\text{ is divisible by }4}). How many pairs are in (R\cap S)?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). How many ordered pairs are in the relation?Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{2}) and (a\equiv b \pmod{3}). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (7). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsExpert MathematicsOn integers, (aRb) if and only if (a\equiv b \pmod{4}). What is the equivalence class of (0)?Class 12Relations and FunctionsTypes of relationsHard MathematicsOn integers, (aRb) if and only if (a-b) is divisible by (5). What type of relation is it?Class 12Relations and FunctionsTypes of relationsHard MathematicsOn the set of integers (Z), (aRb) if and only if (a \equiv b \pmod{3}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsHard MathematicsOn integers, (aRb) iff (3a+4b) is divisible by (7). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn integers, (aRb) iff (a+2b) is divisible by (4). Which statement is correct?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn integers, (aRb) iff (2a+3b) is divisible by (5). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert MathematicsOn integers, (aRb) iff (a+2b) is divisible by (3). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsExpert