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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।

MathematicsOn the set (A={1,2,3}), the relation (R={(1,2),(2,1),(3,3)}) is given. What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsHow many relations on a four-element set are both reflexive and symmetric?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsIf (R) is a symmetric relation on a set, choose the correct statement about (R\cup R^{-1}).Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (R) and (S) are symmetric relations, which statement about (R\cap S) is correct?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsIf (R) is a symmetric relation and (S\subseteq R), which statement about (S) is correct?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf (A) has (n) elements, what is the number of relations in which self-pairs are unrestricted and distinct-element pairs are chosen symmetrically?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsLet A={1,2,3,4}. Which relation is symmetric and transitive but not reflexive on A?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsFor R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2)} on A={1,2,3,4}, which missing ordered pair directly witnesses that R is not transitive?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf a relation (R) is symmetric, what is the correct statement about (R^{-1})?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (R) and (S) are symmetric relations, which statement about (R\cup S) is correct?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (A) has (n) elements, which is the number of symmetric relations on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsIf (R) and (S) are symmetric relations, choose the correct statement about (R\cup S).Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3,4}), which minimum pair must be added to (R={(1,2),(2,1),(3,4)}) to make it symmetric?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsA relation (R) on a set is symmetric. What is correct about its inverse relation (R^{-1})?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsFor a five-element set A, how many symmetric relations on A contain no diagonal ordered pair (a,a)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3}), which minimum pair must be added to (R={(1,2),(2,1),(2,3)}) to make it symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf (A) has (4) elements, how many symmetric relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a+b=6). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf A has n elements, what is the number of symmetric relations on A?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (A) has (3) elements, how many symmetric relations can be formed on (A)?Class 12Relations and FunctionsTypes of relationsLevel 4Hard