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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 (R={(a,b):a) is brother of (b)(}) on a set of people, why is it generally not symmetric?Class 12Relations and FunctionsSymmetric relationEasy MathematicsIn class, a teacher says that every element must be related to itself. This identifies which type of relation?Class 12Relations and FunctionsReflexive relationEasy MathematicsIf (R) is an equivalence relation on a set and (aRb) is false, what is true about ([a]) and ([b])?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is an equivalence relation and ([a]\cap[b]\neq\varnothing), which statement is correct?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is an equivalence relation and (a) and (b) lie in different equivalence classes, what is true about (aRb)?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is an equivalence relation and ([a]=[b]), which statement is correct?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is reflexive and (R\subseteq S\subseteq A\times A), what is true about (S)?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) is a symmetric relation and (S\subseteq R), which statement about (S) is correct?Class 12Relations and FunctionsTypes of relationsExpert MathematicsChoose the correct statement about the inverse of the empty relation on (A={1,2,3}).Class 12Relations and FunctionsTypes of relationsExpert MathematicsFor a non-empty set (A), when will the identity relation and the universal relation be the same?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf a relation (R) is symmetric, what is the correct statement about (R^{-1})?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) and (S) are reflexive relations on the same set, which statement is always true about (R\cap S)?Class 12Relations and FunctionsTypes of relationsExpert MathematicsIf (R) and (S) are transitive relations, choose the correct statement about (R\cap S).Class 12Relations and FunctionsTypes of relationsHard MathematicsIf (R) and (S) are symmetric relations, choose the correct statement about (R\cup S).Class 12Relations and FunctionsTypes of relationsHard MathematicsIf (R) and (S) are reflexive relations on the same set, what is true about (R\cap S)?Class 12Relations and FunctionsTypes of relationsHard MathematicsA relation (R) on a set is symmetric. What is correct about its inverse relation (R^{-1})?Class 12Relations and FunctionsTypes of relationsHard MathematicsIf (R) is symmetric and transitive, must (R) be reflexive?Class 12Relations and FunctionsTypes of relationsMedium MathematicsIf a relation is both symmetric and antisymmetric, what is true about its off-diagonal pairs?Class 12Relations and FunctionsIntroduction to RelationsHard