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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।

MathematicsIf (R) is symmetric and ((p,q) \in R), which conclusion is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhat is the symmetry status of (R={(1,2),(2,1),(3,4),(4,3)})?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich ordered pair is the reverse of ((8,5))?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf a relation is made only of pairs like ((a,a)), what can be said about symmetry?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIn which situation will a relation (R) be called symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(a,b):a-b=0}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3,4}), (R={(a,b):a+b\text{ is even}}). Why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R={(x,y):x=y}) is defined on a set (A), what type of relation is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich relation on (A={1,2}) is symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={a,b}), (R={(a,b),(b,a)}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsChoose the correct option for the relation (R={(1,2),(2,1),(2,2),(3,1),(1,3)}).Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R) is symmetric and ((6,9) \in R), which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,2),(3,3)}). Why is this relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIs the universal relation (R=A \times A) on a set (A) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIs the empty relation (R=\varnothing) on a non-empty set (A) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3)}). Why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R={(2,2),(3,5),(5,3)}), which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich statement correctly identifies a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2}), (R={(1,1),(1,2)}) is given. Which pair must be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf a relation (R) contains ((4,7)) and (R) is symmetric, which ordered pair must definitely be in (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Easy