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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 \(A=\begin{bmatrix}x&1\\2&y\end{bmatrix}\) and \(B=\begin{bmatrix}3&1\\2&4\end{bmatrix}\) and \(A=B\), what is \((x,y)\)?Class 12MatrixEquality of matricesEasyMathematicsA partition of (A={1,2,3,4,5,6}) is ({{1,2,6},{3,5},{4}}). Choose the correct statement about ((2,6)) and ((3,4)) in the equivalence relation formed by it.Class 12Relations and FunctionsEquivalence relationExpertMathematicsOn (A={1,2,3,4,5,6,7}), (aRb) if and only if (a) and (b) leave the same remainder on division by (2). Which statement about ((4,7)) is correct?Class 12Relations and FunctionsEquivalence relationExpertMathematicsFor the partition ({1,6},{2,5},{3,4}) of (A={1,2,3,4,5,6}), which pair belongs to the corresponding equivalence relation?Class 12Relations and FunctionsEquivalence relationMediumMathematicsIf ([x]={1,4,7}) in an equivalence relation, which of the following pairs is definitely in the relation?Class 12Relations and FunctionsEquivalence relationMediumMathematicsIf the classes of an equivalence relation on a set are ({1,2}), ({3,4,5}), and ({6}), what is true about ((2,5))?Class 12Relations and FunctionsEquivalence relationMediumMathematicsIf ([a]={2,5,8}) and the relation is an equivalence relation, which pair must surely belong to the relation?Class 12Relations and FunctionsEquivalence relationMediumMathematicsOn (A={1,2,3,4,5}), (aRb) holds when (|a-b|) is divisible by (3). Which pair belongs to (R)?Class 12Relations and FunctionsEquivalence relationMediumMathematicsOn (A={1,2,3,4,5,6}), (aRb) holds when (a) and (b) have the same remainder on division by (3). Which of the following pairs is not in (R)?Class 12Relations and FunctionsEquivalence relationMediumMathematicsIf (R) is an equivalence relation and ((x,y)\in R), which pair must belong to (R)?Class 12Relations and FunctionsEquivalence relationEasyMathematicsOn (A={1,2,3,4}), (R) forms two classes ({1,2}) and ({3,4}). Which pair will not belong to (R)?Class 12Relations and FunctionsEquivalence relationEasyMathematicsIf (R) is an equivalence relation and ((a,b)\in R), then which pair must belong to (R) due to the symmetric property?Class 12Relations and FunctionsEquivalence relationEasyMathematicsThe set (A={1,2,3,4,5}) is divided into classes ({1,4},{2},{3,5}). Relation (R) means belonging to the same class. Which pair must be in (R)?Class 12Relations and FunctionsEquivalence relationEasyMathematicsIf ((a,b)\in R) always implies ((b,a)\in R), which property is this?Class 12Relations and FunctionsEquivalence relationEasyMathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(1,1),(2,2),(2,3)}). What is the correct reason for failure of transitivity?Class 12Relations and FunctionsTransitive relationExpertMathematicsA relation (R) on a set (A) is transitive. If ((5,7) \in R) and ((7,9) \in R), which conclusion is certain?Class 12Relations and FunctionsTransitive relationExpertMathematicsIf a relation has only the pair ((5,5)), is it transitive or not?Class 12Relations and FunctionsTransitive relationMediumMathematicsIf (R) is transitive and ((x,y) \in R), ((y,z) \in R), what is the correct conclusion?Class 12Relations and FunctionsTransitive relationMediumMathematicsIf (R={(1,2),(2,4),(1,4),(4,1)}), is (R) transitive?Class 12Relations and FunctionsTransitive relationMediumMathematicsOn (A={1,2,3}), (R={(1,1),(1,2),(2,3),(1,3),(3,3)}). Which check is most important for transitivity?Class 12Relations and FunctionsTransitive relationMedium

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