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

MathematicsIf (R) is transitive and ((1,4) \in R), ((4,6) \in R), which pair must definitely be present?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(1,4),(2,4)}). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,4),(1,4)}). Is (R) transitive or not?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,3),(1,3)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Easy MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(2,4),(4,2),(3,3)}). Choose the correct statement about (R^{-1}).Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b\le6}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3}), how many symmetric relations contain ((1,2))?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|=2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) is given. Which minimum ordered pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Expert MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). What is (R\cup R^{-1})?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,1),(2,3),(3,2)}) is given. Why is this relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Expert MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,1)}), which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3,4}) and (R={(1,2),(2,1),(1,3),(3,1),(2,4)}), what will be the smallest symmetric extension of (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (R) is symmetric on (A={1,2,3}) and ((1,2),(2,3),(3,1)\in R), which pairs must also be in (R) at minimum?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf R is symmetric, which statement about R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (A={1,2,3,4}) and (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4)}), which ordered pair must be added at minimum to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf a relation (R) contains ((1,2),(2,1),(2,3),(3,2),(1,3)) and no other off-diagonal pair, what is necessary for symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsWhich is the smallest symmetric relation on (A={1,2,3}) containing ((1,2)) and ((2,3))?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf a relation on (A={1,2,3}) is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}), which minimum pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Hard