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Partition

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

MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What are the equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if both (a) and (b) are multiples of (3), or both are not multiples of (3). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). What are its equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4}), (R) is an equivalence relation. If (1R2) and (3) is not related to any other distinct element, which classes are possible?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b=5). What are the equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or ({a,b}={1,2}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2),(1,4),(4,1)}). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsWhat is the correct conclusion about (R={(a,b):a=b\text{ or }a+b=5}) on (A={1,2,3,4})?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a) and (b) have the same remainder when divided by (2). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf a relation creates a partition of set (A), it is generally connected with which type of relation?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich statement is correct about two equivalence classes formed by an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (A={1,2,3,4,5,6}) and (aRb) if (a) and (b) have the same remainder on division by (3), how many equivalence classes are formed?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsFor the same relation on (A={1,2,3,4}), what are the equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsFor (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) on (A={1,2,3}), what are the equivalence classes?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type is (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhat does an equivalence relation form in a set?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsIf (A={1,2,3,4,5}), how many equivalence relations have (1) and (2) in the same class but (3) not in that class?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsIf (A={1,2,3,4,5}), how many equivalence relations have (1,2,3) in the same class?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert