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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 (A={1,2,3,4,5}), (aRb) if and only if both (a) and (b) are odd. Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is the correct statement?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (R) is symmetric and contains ((1,2),(2,3)), which pairs must be present by symmetry?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (R) and (S) are symmetric relations, which statement is correct about (R\cap S)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf relation (R) is symmetric and ((a,b)\in R), which statement is definitely true?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsFor a four-element set A, how many relations are symmetric but not reflexive?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsLet A be nonempty and let R be the empty relation on A. Which statement is correct?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf a relation contains only one pair ((2,2)), why is it symmetric?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf a relation contains only one pair ((2,3)), is it symmetric?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (R) and (S) are two symmetric relations on (A), what type will (R\cup S) be?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf relation (R) is symmetric and ((4,5)\in R), which conclusion is correct?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsWhy is the relation (R={(1,2),(2,1),(2,3)}) not symmetric?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf a relation (R) contains ((2,3)) and symmetry is required, which pair must be present?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsChoose the correct statement about the empty relation on (A={1,2,3}).Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsOn (A={1,2}), which property does (R={(1,2),(2,1)}) have?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsOn A={1,2}, which property is satisfied by R={(1,1),(1,2),(2,1)}?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsOn (A={1,2,3}), which property does (R={(1,2),(2,1),(3,1),(1,3)}) have?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsIf (R) is symmetric and ((5,8)\in R), which pair must also be present?Class 12Relations and FunctionsTypes of relationsLevel 6Easy