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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}) is defined on the set of integers, what type is (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsFor (R={(a,b):a\equiv b \pmod{3}}) on (A={1,2,3,4,5}), which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4,5}), what type is (R={(a,b):a\equiv b \pmod{2}})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsWhy is the empty relation (\varnothing) considered symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (A={1,2,3}) and (R=A\times A), why is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R) is symmetric and ((5,7)\in R), which of the following conclusions must be true?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), which statement is correct for (R={(a,b):|a-b|=2})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf the inverse (R^{-1}) of a relation (R) is equal to the relation itself, what is the correct conclusion about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what type is the relation (R={(a,b):a-b\text{ is odd}})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), which statement is correct about (R={(a,b):a+b\text{ is even}})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (A={1,2,3,4}) and (R={(1,2),(2,1),(2,4),(4,2),(3,3)}), what is the correct conclusion about (R)?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsThe relation (R={(a,b):a-b\text{ is even}}) is given on integers. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsIf a relation (R) is not symmetric, what is the most common reason?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsHow many reverse pairs are there in (R={(1,2),(2,1),(3,1),(1,3)})?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsIf a relation contains only ((1,1)) and ((2,2)), is it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsWhat should be checked first while testing a relation for symmetry?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsThe relation (R={(a,b):a^2+b^2=10}) is given on real numbers. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsThe relation (R={(a,b):a) and (b) live in the same city(}) is on a set of people. What is it?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsIn which relation is the required pair for symmetry also present when ((2,3)) is present?Class 12Relations and FunctionsSymmetric relationLevel 12Easy MathematicsIf (R={(1,1),(1,2),(2,1),(2,2)}), which statement about (R) is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Easy