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Universal Relation

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

MathematicsRelation (R) is defined on (A={1,2,3}) by (R=A\times A). Which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf A = {1,2,3} and R = A×A, what type of relation is R?Class 11Relations and FunctionsCartesian product of setsLevel 26Medium MathematicsFor the universal relation (A\times A) on (A={1,2,3}), which statement is correct?Class 11Relations and FunctionsRelationsLevel 25Expert MathematicsOn any non-empty set (A), what is the universal relation (R=A \times A)?Class 11Relations and FunctionsRelationsLevel 25Hard MathematicsIf (A={x,y}), how many ordered pairs are in the universal relation on (A)?Class 11Relations and FunctionsRelationsLevel 27Medium MathematicsIf on (A={2,4,6}), (aRb) if (a-b) is divisible by (2), what kind of relation is (R)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsOn the set (A={1,2,3}), if (R=A\times A), what type of relation is (R)?Class 11Relations and FunctionsRelationsLevel 26Medium MathematicsIf (R={(1,1),(1,2),(2,1),(2,2)}) is on (A={1,2}), what type is (R)?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsWhich of the following is the universal relation on the set \(A=\{1,2\}\)?Class 11Relations and FunctionsRelationsLevel 25Medium MathematicsIf c(R=\{(1,1),(1,2),(2,1),(2,2)\}c), on which set is c(Rc) the universal relation?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf (R=A\times A) on (A={1,2}), which properties does (R) have?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf (A={m,n}) and (R=A\times A), what type of relation is (R)?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf (A={p,q,r}), how many ordered pairs will be in the universal relation on (A)?Class 11Relations and FunctionsRelationsLevel 27Easy MathematicsIf (A={1,2}) and (R=A\times A), is (R) transitive?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf (A={1,2}) and (R=A\times A), is (R) symmetric?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf (A={1,2}) and (R=A\times A), is (R) reflexive?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf (A={1,2,3}), which is the universal relation on (A)?Class 11Relations and FunctionsRelationsLevel 26Easy MathematicsIf (A={1,2}), what are the numbers of pairs in the empty relation and universal relation on (A) respectively?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf (R=A\times A) on (A={1,2,3}), what type of relation is (R)?Class 11Relations and FunctionsRelationsLevel 25Easy MathematicsIf (A={p,q}), which is the universal relation on (A)?Class 11Relations and FunctionsRelationsLevel 25Easy