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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।

MathematicsIf (a) and (b) are in different equivalence classes, what is correct about ((a,b))?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsWhat is correct about two elements inside the same class formed by an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a) and (b) leave the same remainder on division by (2). What is the equivalence class of (3)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4,5,6}), (aRb) when (a) and (b) are both divisible by (2) or both not divisible by (2). Which is the class of (2)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsIf a relation is symmetric and transitive but not reflexive, what is the correct conclusion about equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsIf a relation is reflexive and transitive but not symmetric, what will it be?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3)}). Why is it not an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsWhich relation does not form an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsWhich relation is generally an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={-2,-1,1,2}), (aRb) when (|a|=|b|). What is the equivalence class of (-2)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn real numbers, (aRb) when (a^2=b^2). Why is this an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsIf two equivalence classes have even one common element, what is correct about them?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4,5}), relation (R) forms the classes ({1,5}), ({2,3,4}). Which pair will not belong to (R)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4,5}), relation (R) forms two classes ({1,5}), ({2,3,4}). Which pair must belong to (R)?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsIf (R={(a,a):a\in A}), how can (R) be identified?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn the non-empty set (A={1,2}), the empty relation (R={}) is given. Is (R) an equivalence relation?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4}), the universal relation (R=A\times A) is given. What type of relation is it?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn (A={1,2,3,4,5,6,7,8}), (aRb) when (a) and (b) leave the same remainder on division by (4). How many equivalence classes are formed?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsOn real numbers, (aRb) when (|a|=|b|). Which statement about (R) is correct?Class 12Relations and FunctionsEquivalence relationLevel 18EasyMathematicsIf (R) is an equivalence relation and (a) is an element of a set, which elements come in ([a])?Class 12Relations and FunctionsEquivalence relationLevel 18Easy