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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}), (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn real numbers, (aRb) if (a-b) is rational. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R=\varnothing) on a non-empty set (A), which statement about (R) is correct?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(1,2),(2,3),(1,3),(3,2),(2,2),(3,3)}), what type is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf a relation (R) contains ((1,2),(2,3),(3,4)) and (R) is transitive, which group must definitely be in (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn (A={1,2,3,4,5}), (aRb) if (a\le b). What type of relation is this?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }|a|=|b|}), choose the correct option for (R).Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn a family of sets, (A,R,B) if (A\subseteq B). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn real numbers, (aRb) if (a-b\ge 0). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn real numbers, (aRb) if (a^2=b^2). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn natural numbers, (aRb) if (a) is a factor of (b). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}), what type will (R^{-1}) be?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIs the union (R\cup S) of two transitive relations always transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn integers, (aRb) if (a \equiv b \pmod{5}). Which statement is correct about (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b\in\mathbb{Z}\text{ and }a+b\text{ is even}}), which option is correct for (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsOn integers, (aRb) if (a-b) is divisible by (4). What type of relation is it?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R) is transitive and ((1,2)\in R), ((2,4)\in R), ((4,8)\in R), which pair must definitely be in (R)?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsIf a relation has only the pair ((5,5)), is it transitive or not?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsWhich option is a correct example of a transitive relation?Class 12Relations and FunctionsTransitive relationLevel 15Medium MathematicsChoose the correct option for (R={(a,b):a,b \in \mathbb{R}\text{ and }a\ge b}).Class 12Relations and FunctionsTransitive relationLevel 15Medium