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Transitive Relation

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

MathematicsA relation (R) on a set (A) is transitive. If ((x,y)\in R) and ((y,z)\in R), which statement is correct?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), relation (R={(a,b):a\le b}). From ((2,3)) and ((3,4)), which pair follows by transitivity?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,1),(2,2),(3,3)}). Which statement about (R) is correct?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsIf (R) is transitive and ((4,6)\in R), ((6,9)\in R), which conclusion is certain?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn A={1,2,3}, let R={(1,2),(2,2),(2,3),(1,3)}. Is R transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn a set of students, (R={(a,b):a) is a friend of (b)(}). Is this relation generally transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsThe relation (R={(a,b):a) and (b) have the same age(}) is defined on a set of people. Is it transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4)}). What is the first clear reason that (R) is not transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsIf (R) and (S) are transitive relations on a set, what can be said about (R \cap S)?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,1)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn real numbers, (R={(a,b):a\ne b}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn real numbers, (R={(a,b):a=b}). Choose the correct option.Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4)}). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsIf a relation (R) contains ((2,5)) and ((5,7)), which pair must be present for (R) to be transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,1)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn integers, (R={(a,b):a-b) is divisible by (3)(}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(3,4),(1,3),(2,4)}). Which pair must be added to make (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), the universal relation (R=A\times A) is given. Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={1,2,3}), the empty relation (R=\varnothing) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14MediumMathematicsOn (A={a,b,c}), (R={(a,b),(b,c),(a,c),(b,b)}). What is the correct conclusion?Class 12Relations and FunctionsTransitive relationLevel 14Medium