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Symmetric Relation

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}), (R={(1,2),(2,1),(2,2),(3,1)}). Which pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf the arrow diagram of a relation shows a reverse arrow for every arrow, which property does the relation show?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ and }b\text{ have the same parity}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\text{ and }b\text{ are both prime}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhich condition does not form a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf (R) is a symmetric relation and ((a,b)\in R), which statement is always true?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,1),(3,1),(1,3)}). Which option is correct for (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\equiv 1 \pmod{3}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\equiv 0 \pmod{3}}). What can be said about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\equiv 0 \pmod{3}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):|a-b|\leq2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={-1,0,1}), (R={(a,b):a^2=b^2}). What type is (R) with respect to symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhich condition definitely gives a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), how many pairs must be added to (R={(1,2),(2,1),(1,3)}) to make it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhy is the universal relation (A\times A) symmetric on any set (A)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhy is the empty relation (\varnothing) considered symmetric on any set (A)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), which relation is not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf R and S are both symmetric relations, what is the correct statement about R ∪ S?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf (R) and (S) are both symmetric relations on a set (A), which statement about (R\cap S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a=2b}). Which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium