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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 (A={1,2,3}), (aRb) when (a<b). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3}), (aRb) when (a\le b). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3,4}), (aRb) when (a+b) is odd. Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn integers, (aRb) when (a-b) is divisible by (5). Which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf (R) is an equivalence relation and (aRb), what is correct about the equivalence classes of (a) and (b)?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf a relation divides a set into the classes ({a,b}) and ({c}), which pairs must be present?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1),(2,3),(3,2)}). What relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf (A={}) and (R={}), which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3}), the empty relation (R={}) is given. Is it an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2)}). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,4),(4,1)}). What is the correct statement about (R)?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf a relation is an equivalence relation, must it be transitive?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf a relation is an equivalence relation, must it be symmetric?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf a relation is an equivalence relation, must it be reflexive?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsIf (R) is an equivalence relation, which statement about two equivalence classes is correct?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a) and (b) leave the same remainder on division by (3). How many equivalence classes does (R) form?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn real numbers, (aRb) when (a^2=b^2). Choose the correct statement.Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn real numbers, (aRb) when (|a|=|b|). What type of relation is this?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsOn natural numbers, (aRb) when (a=b). What type of relation is (R)?Class 12Relations and FunctionsEquivalence relationLevel 17EasyMathematicsWhich relation is generally not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 17Easy