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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 real numbers, relation (R) is defined by (aRb) if (|a|=|b|). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4}), (R={(1,4),(4,1),(2,3),(3,2),(1,2)}). What is the minimum number of pairs to add to make it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3}), what must be done to make (R={(1,2),(2,1),(1,3)}) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsA relation (R) on a set (A) is symmetric. Which of the following need not be true?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4,6}), (R={(a,b):\operatorname{lcm}(a,b)=6}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4,6}), (R={(a,b):\gcd(a,b)=2}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn real numbers, (R={(a,b):a+b=0}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4}), (R={(1,2),(2,1),(3,4),(4,3),(2,2)}). What is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsWhy is the universal relation (A\times A) on a set (A) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsIs the empty relation (\varnothing) on a non-empty set (A) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsWhich statement gives the correct definition of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsA relation (R) on a set (A) is symmetric. Choose the correct statement about (R^{-1}).Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsIf (R) and (S) are symmetric relations, which conclusion is correct about (R \cup S)?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsIf (R) and (S) are symmetric relations on a set (A), what is true about (R \cap S)?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4}), (R={(a,b):a-b=1}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn real numbers, (R={(a,b):ab=0}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn (A={1,2,3,4}), (R) is defined by (a \equiv b \pmod{2}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsOn A = {1, 2, 3}, how many symmetric relations do not contain (1,1)?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3}), how many symmetric relations contain ((1,2))?Class 12Relations and FunctionsSymmetric relationLevel 12ExpertMathematicsIf A has 5 elements, what is the number of symmetric relations on A?Class 12Relations and FunctionsSymmetric relationLevel 12Medium