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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।

MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\le 1}). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a<b\text{ and }a+b\text{ is odd}}). Which statement about (R) is correct?Class 12Relations and FunctionsTransitive relationHard MathematicsOn real numbers, (aRb) if (a\le b+2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn natural numbers, (aRb) if (b=a+1). What is the correct conclusion about (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsOn real numbers, (aRb) if (ab<0). What type is (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cup S)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R) is not transitive, will (R\cup\Delta) always become transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn real numbers, (aRb) if (a\le 2b). Is this relation transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,3),(3,1),(1,1),(2,4)}), why is (R) not transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }0<a-b<2}), what type is (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsOn natural numbers, (aRb) if (a) and (b) are coprime. Is (R) transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn natural numbers, (aRb) if (a) and (b) have a common divisor, that is (\gcd(a,b)>1). Is this relation transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,3),(1,3)}) and (S={(1,3),(3,4),(1,4)}), what type is (R\cup S)?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,4),(4,2),(2,1),(1,2),(4,1)}), (R) is not transitive because which pair is missing?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }a=b^2}), is (R) transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf (R={(1,2),(2,3),(3,2),(2,2)}), why is (R) not transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsOn real numbers, (aRb) if (a-b) is irrational. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationHard MathematicsOn real numbers, (aRb) if (a<b<a+2). Is the relation transitive?Class 12Relations and FunctionsTransitive relationHard MathematicsIf a relation (R) contains ((1,2),(2,1)) but not ((1,1)), what can be said about (R)?Class 12Relations and FunctionsTransitive relationHard