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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 (4). What is the equivalence class of (0)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3)}), why is (R) not a partial order?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich relation is not an equivalence relation but is a partial order relation?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhy is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(1,3)}) on (A={1,2,3}) not a partial order?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf a relation is both symmetric and antisymmetric, what is true about unequal elements?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (R) is reflexive and transitive, must (R) be an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (R) is symmetric and ((1,2),(2,3)\in R), must ((1,3)\in R)?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (A) has (n) elements, what is the number of relations that are both reflexive and symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich statement about the universal relation is correct?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn real numbers, (aRb) if (a-b\ge0). This relation is an example of what?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn real numbers, (aRb) if (|a|=|b|). What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3}), is (R={(1,1),(2,2),(3,3),(1,2)}) antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich relation on (A={1,2,3}) can be an example of a partial order relation?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (A={1,2,3,4}) and (R) is defined by having the same remainder when divided by (2), how many classes does (R) form?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhy is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}) not an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn natural numbers, (aRb) if (a) is a multiple of (b). Which statement is correct?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(2,1),(3,2),(3,1)}) resembles which relation?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A) is a non-empty set, why is the empty relation on (A) not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,3),(1,3)}), which properties does (R) have?Class 12Relations and FunctionsTypes of relationsLevel 4Medium