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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।

MathematicsWhich short memory rule best explains a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1)}). Is it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (A={1,2}) and (R=A \times A), which pair will already be present for symmetry because of ((1,2))?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIn the relation (R={(1,2),(2,1),(3,3),(4,4)}), how many pairs are equal to their own reverses?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich statement is false?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(a,b):a=b\text{ or }a+b=4}). What type of relation is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIn a symmetric relation, what is the relation between ((m,n)) and ((n,m))?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIn the relation (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), which pair is equal to its own reverse?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R={(x,y):x) and (y) have the same parity(}), why will (R) be symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich option shows the necessary condition for a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3}), (R={(1,1),(2,3),(3,2),(3,3)}) is given. What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhile checking a symmetric relation, what should be noticed first?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R) contains only ((5,5)) and ((7,7)), is (R) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R={(a,b):a-b\text{ is even}}), why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIs the relation (R={(1,1),(1,2),(2,1),(2,3),(3,2)}) symmetric or not?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich relation on (A={1,2,3}) is symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsIf (R) is symmetric and ((10,3) \in R), which ordered pair must definitely be in (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsOn (A={1,2,3,4}), (R={(1,4),(4,1),(2,2)}) is given. Which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Easy MathematicsWhich option is the simplest correct example of a symmetric relation?Class 12Relations and FunctionsSymmetric relationLevel 10Easy