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Equivalence

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

MathematicsIs the universal relation (A\times A) on (A={1,2,3}) an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsWhich pair is not present in the smallest equivalence relation on A={1,2,3,4} containing R={(1,2),(2,3),(3,1)}?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsWhich pair must belong to the smallest equivalence relation on A={1,2,3,4} containing R={(1,2),(2,3),(4,4)}?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5,6}), how many pairs are in (R={(a,b):a-b) is divisible by (3)(})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn real numbers, (aRb) iff (|a-b|=0). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn real numbers, (aRb) iff (\lfloor a\rfloor=\lfloor b\rfloor). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (2a+2b) is divisible by (4). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (3a+4b) is divisible by (7). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert 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 MathematicsOn (A={1,2,3,4,5,6}), how many equivalence relations have class sizes (2,2,2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn (A={1,2,3,4,5,6}), how many equivalence relations have two classes both of size (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Expert MathematicsOn integers, (aRb) iff (2a+3b) is divisible by (5). In which property does this relation fail?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsIf (A={1,2,3,4}), how many equivalence relations have (1) and (2) in different classes?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsIf (A={1,2,3,4}), how many equivalence relations have (1) and (2) in the same class?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Expert MathematicsIf (R) is an equivalence relation, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIs the union of two equivalence relations always an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsIf (R) and (S) are equivalence relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn real numbers, (aRb) iff (|a|=|b|). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert MathematicsOn real numbers, (aRb) iff (a^3=b^3). What type of relation is it?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Expert