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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}), (R={(1,2),(2,1),(2,3),(3,2)}). Which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsHow many symmetric relations can be formed on a set having three elements?Class 12Relations and FunctionsSymmetric relationLevel 11HardMathematicsIf (R) and (S) are symmetric relations on (A), choose the correct statement about (R\triangle S), where (R\triangle S=(R-S)\cup(S-R)).Class 12Relations and FunctionsSymmetric relationLevel 10HardMathematicsFor any relation (R), what type of relation is (R\cup R^{-1}) always?Class 12Relations and FunctionsSymmetric relationLevel 10HardMathematicsIf A has n elements, how many symmetric relations on A contain no diagonal pair (a,a)?Class 12Relations and FunctionsSymmetric relationLevel 10HardMathematicsOn (A={1,2,3}), the matrix of relation (R) is (\begin{pmatrix}1&0&1\0&1&1\1&1&0\end{pmatrix}). What is the correct conclusion about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10HardMathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which minimum pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10HardMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=2b}). Choose the correct option about (R).Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=2a}). Which statement is correct for (R)?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsIf a relation (R) contains only diagonal pairs of the form ((a,a)), which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsA relation on (A={1,2,3}) has the matrix (\begin{bmatrix}1&1&0\0&1&1\0&1&1\end{bmatrix}). Choose the correct statement.Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsA relation on (A={1,2,3}) has the matrix (\begin{bmatrix}1&0&1\0&1&0\1&0&0\end{bmatrix}). Is the relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=7}). If ((3,4)\in R), which pair also belongs to (R) due to symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsIn which option are a relation (R) and its inverse (R^{-1}) equal?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsIf (R={(a,b):a+b\text{ is a multiple of }5}), which statement is correct based on symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2),(1,3)}). Which pair should be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3,4,5}), (R={(a,b):\text{the difference of }a\text{ and }b\text{ is divisible by }2}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a^2-b^2=0}). Which option is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):a+b=ab}). Choose the correct statement for (R).Class 12Relations and FunctionsSymmetric relationLevel 12MediumMathematicsOn (A={1,2,3,4}), (R={(a,b):ab\text{ is even}}). Which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Medium