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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 a symmetric relation (R) on (A={1,2,3}) contains ((1,2)) and ((2,3)), which pairs must also be present at minimum?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich option gives a relation that is reflexive but not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich option gives a relation (R) that is symmetric but not reflexive?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich statement is correct about the identity relation (I={(a,a):a\in A})?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich option gives a relation that is both symmetric and reflexive?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):|a-b|=1}). What is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf R is symmetric, which statement about R⁻¹ is correct?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf the matrix of a relation (R) is (\begin{pmatrix}1&0&1\0&1&0\1&0&1\end{pmatrix}), what is (R)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (A) has (n) elements, what is the total number of symmetric relations on (A)?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3}), why is the relation (R={(1,2),(2,1),(3,1)}) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (R) is symmetric, which of the following statements is always true?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn (A={1,2,3,4}), (R={(a,b):a-b\text{ is odd}}). Choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(2,3)}), which pair must be added to make (R) symmetric?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsOn the set (A={1,2,3}), the relation (R={(1,1),(2,2),(3,3),(1,2),(2,1)}) is given. What type of relation is it?Class 12Relations and FunctionsSymmetric relationLevel 11Medium MathematicsWhich option gives the correct minimum correction for making the relation symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}), why is (R) not symmetric?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsOn (A={1,2,3,4}), what type is (R={(a,b):a+b\le 5})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1)}), what type is (R) on (A={1,2,3})?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsFor (R={(1,2),(2,1),(1,3),(3,1)}) on (A={1,2,3}), which statement is correct?Class 12Relations and FunctionsSymmetric relationLevel 10Medium MathematicsIf relation (R) is symmetric and transitive, and ((1,2)\in R), ((2,1)\in R), which pair can be obtained by transitivity?Class 12Relations and FunctionsSymmetric relationLevel 10Medium