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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={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). What can be said about this relation?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhat is the safest method to identify a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what type is (R={(a,b):a+b\text{ and }b+a\text{ are both equal to }6})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf a relation contains ((1,4),(4,1),(2,3),(3,2)) and no other non-diagonal pair, what can be said about symmetry?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), in the relation (R={(a,b):a+b\text{ is odd}}), which pair must occur with ((1,2))?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what type is (R={(a,b):a+b\le 5})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what type is (R={(a,b):a\ne b})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R) is symmetric and ((3,3)\in R), which extra pair is required because of ((3,3))?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R) is symmetric, which of the following statements is not always true?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R) is symmetric and contains ((a,b)) where (a\ne b), which minimum pair must also be present to maintain symmetry?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4,5,6}), which statement is correct for (R={(a,b):a\text{ and }b\text{ are both even}})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what type is the relation (R={(a,b):\gcd(a,b)=1})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIn which option will (R^{-1}=R) be true?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R={(1,2),(2,1),(2,3),(3,2),(3,4),(4,3)}), what is (R^{-1})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R) is symmetric and (R) contains ((2,5)) and ((4,6)), which group of pairs must be in (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what is the correct conclusion for (R={(a,b):|a-b|\le 1})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), how many pairs are in (R={(a,b):a+b=5}), and what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Medium