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Equivalence Relation

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

MathematicsA relation (aRb) holds if (a) and (b) study in the same class. On a set of students, what type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsA relation (aRb) holds if (a) and (b) have birthdays on the same date. On a set of people, what type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsOn integers, (aRb) if (a-b) is even. What type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf (A={1,2,3}), which statement is correct about (R=A\times A)?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsA relation on a set that is reflexive, symmetric and transitive is called what?Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsFor (R={(1,1),(2,2),(3,3)}) on (A={1,2,3}), choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4Medium MathematicsIf a relation has all diagonal pairs and the reverse of every pair, which property remains to be checked to prove it is an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsOn integers, (aRb) iff (a-b) is divisible by (5). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsOn integers, (aRb) iff (a) and (b) are both even or both odd. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsIf a relation is reflexive and symmetric but not transitive, is it an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsWhich property is not required for an equivalence relation and is wrongly added?Class 12Relations and FunctionsTypes of relationsLevel 6Easy MathematicsIf a relation is reflexive and transitive, is it always an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsIf a relation is reflexive and symmetric, is it always an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn integers, (aRb) iff (a-b) is divisible by (3). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn (A={1,2,3}), what type of relation is (R={(1,1),(2,2),(3,3),(2,3),(3,2)})?Class 12Relations and FunctionsTypes of relationsLevel 5Easy MathematicsOn R, define aRb if and only if a−b is rational. What is the equivalence class of √2?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsOn (A={1,2,3}), what type of relation is (R={(1,1),(2,2),(3,3),(1,2),(2,1)})?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsIf a relation is reflexive, symmetric and transitive, what type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsIs (R={(1,1),(2,2),(3,3)}) an equivalence relation on (A={1,2,3})?Class 12Relations and FunctionsTypes of relationsLevel 4Easy MathematicsOn integers, (aRb) iff (a-b) is divisible by (2). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4Easy