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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।

MathematicsOn (A={1,2,3,4}), (R={(2,2),(2,3),(3,4),(2,4)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf (R) is transitive and ((5,5) \in R), ((5,8) \in R), which pair is obtained by transitivity?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), which pair must be added to make (R={(1,3),(3,2)}) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,3),(3,2),(1,2)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ have the same remainder modulo }2}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn real numbers, (R={(a,b):|a|=|b|}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsA relation (R) is transitive on a set. If ((a,b) \in R) and no pair of the form ((b,c)) is in (R), is any new ((a,c)) pair forced only from ((a,b))?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4)}) is not transitive. Which pair is missing?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(2,4),(1,4)}). Which required pair must also be checked for transitivity?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf (R) and (S) are both transitive relations, what is correct about (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf (R) and (S) are both transitive relations, is (R\cup S) always transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsWhy is (R={(1,2),(2,3),(3,3)}) on (A={1,2,3}) not transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3),(3,3)}). Choose the correct option about (R).Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn A = {1, 2, 3, 4}, let R = {(a,b): a + b is even}. What type of relation is R?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ and }b\text{ are both even}}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn real numbers, (R={(a,b):a^2=b^2}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf a relation is reflexive, will it always be transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsIf a relation is symmetric, will it always be transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(1,3)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Easy