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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।

MathematicsIf R is symmetric, which statement about R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(2,3),(3,2)}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsWhat is the number of symmetric relations on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (A={1,2,3,4}) and (R={(1,1),(2,2),(3,3),(4,4),(1,3),(3,1),(2,4)}), which ordered pair must be added at minimum to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(1,2),(2,1),(2,3),(3,2)}), which property does (R) definitely have?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a+b=5}) is defined. Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a\cdot b\text{ is even}}) is defined. Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsWhich is the smallest symmetric relation on (A={1,2,3}) containing ((1,2)) and ((2,3))?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf (R) is symmetric on (A) and (T\subseteq R), which statement about (T) is not always true?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):a-b\text{ is divisible by }2}) is given. Choose the correct option for (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsWhich of the following relations on (A={1,2,3}) is symmetric but not transitive?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsOn (A={1,2,3,4}), relation (R={(a,b):|a-b|=1}) is given. Choose the correct statement.Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsA set (A) has (n) elements. What is the total number of symmetric relations on (A)?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIf a relation on (A={1,2,3}) is (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}), which minimum pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsLet (A={1,2,3,4}) and (R={(a,b):a+b\text{ is even}}). Choose the correct statement about relation (R).Class 12Relations and FunctionsSymmetric relationLevel 12Hard MathematicsIn which relation is (R) symmetric but not reflexive?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsFor (R={(a,b):a+b\text{ is even}}) on (A={1,2,3,4}), which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsWhich statement is correct about the identity relation (I_A={(a,a):a\in A})?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsWhat is the symmetric closure of (R={(1,1),(1,2),(2,1),(2,3)})?Class 12Relations and FunctionsSymmetric relationLevel 11Hard MathematicsWhich relation needs at least one pair to be added to make it symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Hard