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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।

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)}). Choose the correct conclusion.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a=b) or (a+b) is even. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsWhat is the correct conclusion about (R={(a,b):a=b\text{ or }a+b=5}) on (A={1,2,3,4})?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a=b\text{ or }a+b=5}). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a) and (b) have the same remainder when divided by (2). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsWhich of the following relations on (A={1,2,3}) is an equivalence relation?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(3,4),(4,3)}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (aRb) if and only if (a-b) is divisible by (2). Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn a set of students, (aRb) if and only if (a) and (b) have the same birth month. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn real numbers, (aRb) if and only if (|a|=|b|). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn real numbers, (aRb) if and only if (a^2=b^2). Choose the correct type.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn real numbers, (aRb) if and only if (a-b) is rational. What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsFor (A={1,2,3,4}), the identity relation (I={(1,1),(2,2),(3,3),(4,4)}) is given. Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b) is even(}). Choose the correct answer.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn the set of integers (Z), (aRb) if and only if (a \equiv b \pmod{3}). What type of relation is it?Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3,4}), consider (R={(a,b):a-b) is even(}). Choose the correct type.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsFor a non-empty set (A), choose the correct statement about the universal relation (A\times A).Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsOn (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. Choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 4HardMathematicsIf a relation creates a partition of set (A), it is generally connected with which type of relation?Class 12Relations and FunctionsTypes of relationsLevel 6MediumMathematicsA relation (aRb) holds if (a) and (b) have the same square. On real numbers, what type of relation is this?Class 12Relations and FunctionsTypes of relationsLevel 6Medium