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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={(a,b):a<b}). Why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a+2b=6}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\leq b}). Why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2)}). Why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a\mid b}). Which is the correct counterexample showing that (R) is not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is positive}}). Why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Hard MathematicsOn (A={1,2,3}), which relation is not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), a supposed symmetric relation (R) contains ((1,2)) but not ((2,1)). What does this show?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b=2}). Why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (R) is not symmetric, what type of example is sufficient to prove it?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), why is (R={(a,b):a\text{ divides }b}) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), is (R={(a,b):a-b=2}) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), why is (R={(a,b):a=b+1}) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3}), why is (R={(a,b):a\le b}) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIn which situation will a relation fail the test of symmetry?Class 12Relations and FunctionsSymmetric relationLevel 11Easy MathematicsCan the union of two non-reflexive relations ever be reflexive?Class 12Relations and FunctionsReflexive relationLevel 8Hard MathematicsOn real numbers, (R={(a,b):a^2+b^2=0}). Is (R) reflexive?Class 12Relations and FunctionsReflexive relationLevel 7Medium MathematicsIf (R) is symmetric and transitive, is (R) always reflexive? Choose the correct option.Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsWhich pair of transitive relations gives a union that is not transitive?Class 12Relations and FunctionsTypes of relationsLevel 6Expert MathematicsFor R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,1),(2,4),(4,2)} on A={1,2,3,4}, which missing ordered pair directly witnesses that R is not transitive?Class 12Relations and FunctionsTypes of relationsLevel 4Expert