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Class 11 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={(1,2),(2,3),(3,4)}). What is the minimum number of new pairs needed in the transitive closure of (R)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsWhich pair is compulsory in the transitive closure of a relation (R), if (R) contains ((1,2)) and ((2,4))?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3}), relation (R={(1,1),(1,2),(2,2),(2,3),(1,3),(3,3)}) is given. Which familiar order does this relation resemble?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a\neq b). Which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (\mathbb{N}), (aRb) if and only if (a+b) is odd. What is the correct statement about (R)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (\mathbb{R}), (aRb) if and only if (a^3\leq b^3). This relation is equivalent to which relation?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (\mathbb{R}), (aRb) if and only if (a-b>0). Which property of (R) is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\leq1}). Which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b) is divisible by (3)(}). How many ordered pairs are in (R)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf (R) is symmetric, what is its relation with (R^{-1})?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf (R) is a reflexive relation on (A), which statement about (R^{-1}) is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3}), the identity relation is (I_A={(1,1),(2,2),(3,3)}). What is the correct nature of (I_A)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsFor (A={1,2,3}), which statement is correct about the empty relation (R=\varnothing)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsRelation (R) is defined on (A={1,2,3}) by (R=A\times A). Which statement about (R) is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,4,8}), (aRb) if and only if (a\mid b). Which statement is correct?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={2,3,6,12}), (aRb) if and only if (a\mid b). Which is the least element of this poset?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3,4}), (aRb) if and only if (a) is less than or equal to (b). Which is the greatest element in (R)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsIf a relation (R) is both symmetric and antisymmetric, which off-diagonal pairs can occur in (R)?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Which property is false?Class 11Relations and FunctionsRelationsLevel 27Expert MathematicsOn (\mathcal{P}(S)), relation (A,R,B) if and only if (A\subseteq B). What type of relation is this?Class 11Relations and FunctionsRelationsLevel 27Expert