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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।

MathematicsWhat is the universal relation (R=A\times A) on a set (A)?Class 12Relations and FunctionsTransitive relationLevel 15EasyMathematicsWhat is the nature of the empty relation (R=\varnothing) on a non-empty set (A)?Class 12Relations and FunctionsTransitive relationLevel 15EasyMathematicsWhen is a relation (R) on a set (A) called transitive?Class 12Relations and FunctionsTransitive relationLevel 15EasyMathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4),(1,4)}), what is the correct statement about (R)?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsWhich statement is false?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsIf (R={(2,3),(3,5),(5,6),(2,5),(3,6)}), which additional pair is needed for transitivity?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsWhich option is a simple example of a non-transitive relation?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,3),(1,3)}) is given. Is it transitive?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsWhich is the correct condition for a relation to be transitive?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3)}) is given. Is (R) transitive?Class 12Relations and FunctionsTransitive relationLevel 14EasyMathematicsIf a relation (R) satisfies (R=R^{-1}), which conclusion is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3}), which relation is reflexive but not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsOn (A={1,2,3}), which relation is symmetric but not reflexive?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsHow many symmetric relations are possible on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsFor a set A with n elements, how many unordered pair-positions must be chosen to specify a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(3,4)}). Which minimum pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11ExpertMathematicsIf (R) is both symmetric and antisymmetric, what is true about the off-diagonal pairs of (R)?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R) is symmetric and transitive and ((a,b)\in R), which pair must definitely belong to (R)?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsIf (R) and (S) are symmetric, what is true about (R\triangle S), where (R\triangle S=(R-S)\cup(S-R))?Class 12Relations and FunctionsSymmetric relationLevel 10ExpertMathematicsFor a relation (R), what is the smallest symmetric relation that contains (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert