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RELATED QUESTIONS

Equivalence 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 an equivalence relation, which property is not required?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (R) is an equivalence relation, by which property is (aRa) true for every element (a)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (R) is an equivalence relation and (aRb), by which property do we get (bRa)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (R) is an equivalence relation and (aRb), (bRc), which conclusion is correct?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,3),(3,2),(1,3),(3,1)}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (R) is reflexive and transitive, must (R) be an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (R) is reflexive and symmetric, must (R) be an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich statement about identity relation is correct?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (R) is an equivalence relation and ((1,2)\in R), ((2,4)\in R), which pair must be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (R) is an equivalence relation and ((2,5)\in R), which pair must be in (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn real numbers, (aRb) if (a=b) or (a=-b). What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn real numbers, (aRb) if (|a|=|b|). What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn real numbers, (aRb) if (a^2=b^2). What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (aRb) means (a) and (b) have the same remainder when divided by (5), what type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsIf (R) is an equivalence relation on a set, which conclusion is always true?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich relation is reflexive and symmetric but not transitive?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn integers, (aRb) if (a-b) is divisible by (3). What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type is (R)?Class 12Relations and FunctionsTypes of relationsLevel 5Medium MathematicsWhich relation on (A={1,2,3}) is an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 4Medium