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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={(a,b):a^2-b^2=0}) is defined on real numbers, choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R={(a,b):a^2+b^2=25}) is defined on integers, what is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is symmetric on (A={1,2,3,4}) and has exactly (10) pairs, which value is impossible for the number of diagonal pairs?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R\cap R^{-1}=R), what is the correct conclusion about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsFor any relation R, which statement about R ∪ R⁻¹ is always true?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is a symmetric relation, what is true about (R\cup R^{-1})?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is symmetric on (A={1,2,3,4}) and ((1,2),(2,3),(3,4)\in R), what is the minimum number of off-diagonal pairs in (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3,4}) and (R={(a,b):|a-b|=2}), how many ordered pairs are in (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R={(a,b):a+b=0}) is defined on integers, what is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) and (S) are symmetric relations, which additional condition is sufficient for (R\circ S) to be symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) and (S) are symmetric relations on (A), which statement about (R-S) is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (R) is symmetric and (S\subseteq R), which conclusion about (S) is always correct?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3,4,5}), how many symmetric relations on (A) contain no diagonal pair?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3,4}) and (R={(1,2),(2,1),(1,3),(3,1),(2,4)}), what will be the smallest symmetric extension of (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Expert MathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(1,3),(3,1),(2,2)}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (A={1,2,3,4}) and (R) contains exactly those pairs in which both numbers are odd or both numbers are even, which statement is correct about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (R={(a,b):|a-b|\le 2}) is defined on integers, choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsFor the relation (R={(a,b):a) divides (b)(}) on natural numbers, what is the correct statement?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (R) is symmetric on (A={1,2,3}) and ((1,2),(2,3),(3,1)\in R), which pairs must also be in (R) at minimum?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf a relation (R) satisfies (R=R^{-1}), what is the correct conclusion about (R)?Class 12Relations and FunctionsSymmetric relationLevel 12Hard