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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}), what is the smallest symmetric extension of (R={(1,2),(2,1),(3,4)})?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsOn (A={1,2,3,4}), how many pairs will the transitive closure of (R={(1,2),(2,3),(3,4)}) contain?Class 12Relations and FunctionsTypes of relationsLevel 5Expert MathematicsIf R is the empty relation on a non-empty set A, what is R∘R?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsLet A={1,2,3,4}. Which relation is symmetric and transitive but not reflexive on A?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsFor the relation defined by aRb iff a=b or both a and b are greater than 2 on A={1,2,3,4}, what is the equivalence class of 3?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsLet A={1,2,3,4,5} and define aRb if and only if a+b is odd. Which statement correctly describes this relation?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3}), what is the smallest transitive extension of (R={(1,2),(2,3)})?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4,5,6}), (aRb) if and only if (a\equiv b \pmod{3}). What is the equivalence class of (1)?Class 12Relations and FunctionsTypes of relationsLevel 4Expert MathematicsOn (A={1,2,3,4}), which minimum pair must be added to (R={(1,2),(2,1),(3,4)}) to make it symmetric?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsOn (A={1,2,3}), (R={(1,2),(2,3)}). What is the smallest transitive extension of (R)?Class 12Relations and FunctionsTypes of relationsLevel 6Hard MathematicsWhich relation on A={1,2,3} is symmetric but not transitive?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsOn a set A with four elements, how many relations are both reflexive and antisymmetric?Class 12Relations and FunctionsTypes of relationsLevel 5Hard MathematicsIf a relation on a 3-element set is both reflexive and antisymmetric, how many such relations are possible?Class 12Relations and FunctionsTypes of relationsLevel 4Hard MathematicsIf (R) is an equivalence relation and the class of (a) is ({a,b,c}), what is the class of (b)?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich relation can be reflexive, symmetric, antisymmetric and transitive all together?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhich relation is neither reflexive nor symmetric, but antisymmetric and transitive?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsFor (R={(1,1),(2,2),(3,3),(1,2),(1,3)}) on (A={1,2,3}), choose the correct statement.Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsIf (A) is a non-empty set, which property does the universal relation definitely satisfy?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Why is it not transitive?Class 12Relations and FunctionsTypes of relationsLevel 6Medium MathematicsWhy is the union of two transitive relations not always transitive?Class 12Relations and FunctionsTypes of relationsLevel 6Medium