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Equivalence

Class 11 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhat is the total number of equivalence relations on a set with (3) elements?Class 11Relations and FunctionsRelationsHard MathematicsOn the set of triangles, (T_1RT_2) if and only if (T_1) and (T_2) are similar. What type of relation is it?Class 11Relations and FunctionsRelationsHard MathematicsOn the set of straight lines in a plane, (lRm) if and only if (l\parallel m). If a line is considered parallel to itself, what type of relation is it?Class 11Relations and FunctionsRelationsHard MathematicsOn integers, (aRb) if and only if (a-b) is a multiple of (2). Which class is ([11])?Class 11Relations and FunctionsRelationsHard MathematicsOn real numbers, (aRb) if and only if (a-b\in\mathbb{Q}). What type of relation is it?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3),(3,2)}). Why is (R) not an equivalence relation?Class 11Relations and FunctionsRelationsHard MathematicsIf (R) is an equivalence relation on a set (A), which property below is not required and is wrongly added as compulsory?Class 11Relations and FunctionsRelationsHard MathematicsWhen is the universal relation (A\times A) on a set (A) an equivalence relation?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Choose the correct statement about (R).Class 11Relations and FunctionsRelationsHard MathematicsOn integers, (aRb) if and only if (a+b) is even. What are the equivalence classes?Class 11Relations and FunctionsRelationsHard MathematicsOn real numbers, (aRb) if and only if (a-b\in\mathbb{Z}). What type of relation is this?Class 11Relations and FunctionsRelationsHard MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1)}), which statement about (R) is correct?Class 11Relations and FunctionsRelationsHard MathematicsOn (A={1,2,3,4,5}), (aRb) if and only if (a-b) is divisible by (3). What is the number of equivalence classes?Class 11Relations and FunctionsRelationsHard MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b \text{ is even}}) is given. Which type of relation is it?Class 11Relations and FunctionsRelationsHard MathematicsFor (R={(a,b):a) and (b) have the same parity(}) on (A={1,2,3,4}), what is correct?Class 11Relations and FunctionsRelationsHard MathematicsWhich is the identity relation I_A on A = {1,2,3}?Class 11Relations and FunctionsRelations that are reflexive and symmetricMedium MathematicsFor (R={(a,b):a+b \text{ is even}}) on (A={1,2,3,4}), choose the correct option.Class 11Relations and FunctionsRelationsHard MathematicsIf (R={(1,1),(1,2),(2,1),(2,2)}) is on (A={1,2}), what type is (R)?Class 11Relations and FunctionsRelationsMedium