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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={(1,1),(1,2),(2,2)}) and (S={(2,2),(2,3),(3,3)}), what type is (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R) is transitive and (S) is the identity relation, what is correct about (R\cap S)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn real numbers, (aRb) if (a-b\in\mathbb{Q}). What type will (R^{-1}) be?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4),(4,4)}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R) is transitive, what about (R\cup\Delta), where (\Delta={(a,a):a\in A})?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(1,1),(3,3),(1,3),(3,1),(2,4)}), which option is correct for (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn (A={1,2,3,4}), (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1)}). Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R) is transitive and ((1,2),(2,3),(3,1)\in R), which of these pairs must necessarily be in (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }a-b>2}), is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn real numbers, (aRb) if (a-b) is an integer. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(1,2),(2,3),(1,3),(3,5),(1,5),(2,5)}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R) is transitive, what can be said about (R\circ R\subseteq R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn sets, (A,R,B) if (A\subset B), where (A) is a proper subset. What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn a family of sets, (A,R,B) if (A\supseteq B). What type of relation is this?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn real numbers, (aRb) if (a^2<b^2). Which statement is correct for (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn real numbers, (aRb) if (a^2\le b^2). Is this relation transitive?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsOn integers, (aRb) if (a-b) is divisible by (6). What type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 14Hard MathematicsIf (R={(a,b):a,b\in\mathbb{R}\text{ and }a^3=b^3}), what type of relation is (R)?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R={(a,b):a,b\in\mathbb{N}\text{ and }a\mid b}), what is the correct reason for (R) being transitive?Class 12Relations and FunctionsTransitive relationLevel 13Hard MathematicsIf (R) is an equivalence relation on a set, what can be said about its transitive property?Class 12Relations and FunctionsTransitive relationLevel 13Hard