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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={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3),(3,1)}). Which missing pair does not break symmetry?Class 12Relations and FunctionsSymmetric relationLevel 11Medium 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 MathematicsIf a relation (R) is symmetric, which conclusion is not necessary?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (R) is a symmetric relation and ((2,5),(5,7)\in R), which option is definitely true?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=5}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3}), (R={(a,b):ab\text{ is even}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhy is (R={(a,b):a\equiv b \pmod{3}}) symmetric on (A={1,2,3,4,5})?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a\equiv b \pmod{2}}). Choose the correct option about (R).Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhy is the universal relation (A\times A) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich of the following statements is false?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (R) is symmetric, what can be said about the complement of (R) with respect to (A\times A)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (R) and (S) are both symmetric relations, what is the correct statement about (R\cup S)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf R is symmetric, which statement about R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich of the following matrices represents a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (A={1,2}), how many symmetric relations are possible on (A)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,3),(3,1),(2,2)}). Choose the correct option about (R).Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (R) is symmetric, which of the following statements is always true?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf a relation (R) is symmetric and ((5,8)\in R), which pair must definitely belong to (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIn which relation is symmetry definitely present?Class 12Relations and FunctionsSymmetric relationLevel 11Medium