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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।

MathematicsLet A={1,2,3}. Which of the following relations on A is symmetric but not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsOn (A={1,2,3}), which property is definitely satisfied by (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)})?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn real numbers, (aRb) iff (a\ne b). Is this relation symmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn (A={1,2,3}), which property does (R={(1,2),(2,1),(3,3)}) satisfy?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsIf (R) is symmetric and ((4,7)\in R), which pair must be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn (A={1,2,3}), which property does (R={(1,2),(2,1),(2,3),(3,2)}) satisfy?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsIf a relation contains ((2,3)) and is symmetric, which pair must also be present?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsOn A={1,2,3}, let R={(1,2),(2,1)}. Which is the most accurate description of R?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsWhich condition is necessary for a relation (R) to be symmetric?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsLet A={1,2,3}. If a symmetric relation R on A must contain (1,2), how many such relations are possible?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf (R) is symmetric on (A={1,2,3}) and ((2,3)\in R), which pair must be in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2)}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}) on (A={1,2,3}), which property does (R) have?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Medium MathematicsIf A has 3 elements, how many symmetric relations on A are also reflexive?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Medium MathematicsIf (R) is a relation on (A) such that ((a,b)\in R\Rightarrow (b,a)\in R), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Medium MathematicsIf (R) and (S) are both symmetric relations on (A), what is true about (R\cup S)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R) is symmetric, which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIf (R) is a symmetric relation on (A), which statement about domain and range is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsOn real numbers, (aRb) means (a+b=0). Which property is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIs (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) symmetric on (A={1,2,3})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Easy