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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}}). What can be said about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\leq5}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhich relation needs no new pair to be added in order to be symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3),(1,2),(2,1)}). Choose the correct statement about this relation.Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf a set (A) has (4) elements, what is the total number of symmetric relations on (A)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsHow many symmetric relations can be formed on the set (A={1,2,3})?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf (R) is a symmetric relation on a set (A), which statement about (R^{-1}) is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsA symmetric relation (R) on (A={1,2,3}) contains ((1,3)) and ((2,3)). Which of the following sets must definitely be a subset of (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4,5}), (R={(a,b):a+b=6}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\text{ divides }b}). Choose the correct option for (R).Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a\leq b}) is defined. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsIf a relation (R) contains ((4,7)\in R) and (R) is symmetric, which pair must definitely belong to (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3}), the relation (R={(1,2),(2,1),(2,3),(3,2),(1,1)}) is given. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn (A={1,2,3,4}), let (R={(a,b):a-b\text{ is even}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn the set (A={1,2,3,4}), the relation (R={(a,b):a+b\text{ is even}}) is defined. What type of relation is it with respect to symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(1,2),(2,1),(2,3)}) is given. Which ordered pair must be added at minimum to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Medium MathematicsWhat is the best exam strategy to identify a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 11Medium Mathematics(R={(a,b):a^2=b^2}) is given on real numbers. Which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a) and (b) are both even or both odd(}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium