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Symmetric Relation

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

MathematicsIf (R) is symmetric and (S\subseteq R), which statement about (S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsA relation (R) on a set (A) is symmetric. If ((a,b)\notin R), which conclusion is always true?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R={(a,b):a+b=10}) on real numbers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn real numbers, (R={(a,b):|a-b|<2}). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIn a symmetric relation on (A={1,2,3}), ((1,2)) and ((2,3)) are present. Which pairs must be present at minimum?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsWhich relation is definitely symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R) is a symmetric relation, which statement about (R\setminus S) is always true?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R) and (S) are both symmetric relations on (A), which statement about (R\cup S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R) and (S) are both symmetric relations on (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,3),(3,1)}). Which property is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). Which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsWhat is the correct way to identify a symmetric relation in a directed graph?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsFor the identity relation (I={(1,1),(2,2),(3,3)}) on (A={1,2,3}), what is the correct conclusion?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsFor a set (A), which statement is correct about the universal relation (R=A\times A)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn (A={1,2,3}), (R=\varnothing). Which statement is correct for (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (R={(a,b):a-b\text{ is even}}) is a relation on integers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsA relation (R) on a set (A) is symmetric. Which statement about (R^{-1}) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf a relation (R) is symmetric and ((5,8) \in R), which conclusion is definitely true?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsHow many symmetric relations are possible on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,1),(2,3),(3,2)}) is given. Why is this relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Expert