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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।

MathematicsOn (A={1,2,3,4}), (R={(1,2),(2,3),(1,3),(3,4),(2,4),(1,4)}). Choose the correct statement about (R).Class 12Relations and FunctionsTransitive relationHardMathematicsIf (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 relationHardMathematicsWhich option gives a relation on (A={1,2,3}) that is symmetric but not reflexive?Class 12Relations and FunctionsSymmetric relationHardMathematicsIf (A={1,2,3,4,5}), the number of symmetric relations on (A) equals which of the following?Class 12Relations and FunctionsSymmetric relationHardMathematicsIf (A={1,2,3}) and (R={(1,1),(2,2),(3,3),(1,2),(2,1),(1,3)}), (R) is not symmetric because which pair is missing?Class 12Relations and FunctionsSymmetric relationHardMathematicsIf (R) and (S) are two symmetric relations on (A), choose the correct statement about (R\cup S).Class 12Relations and FunctionsSymmetric relationHardMathematicsFor the relation (R={(x,y):x-y\text{ is odd}}), where (x,y\in {1,2,3,4}), which statement is correct?Class 12Relations and FunctionsSymmetric relationHardMathematicsIf (A={1,2,3}) and (R={(1,2),(2,1),(2,3),(3,2)}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHardMathematicsIf the matrix of a relation is (M=\begin{bmatrix}1&0&1\0&1&0\1&0&0\end{bmatrix}), what is the correct statement about the relation?Class 12Relations and FunctionsSymmetric relationHardMathematicsWhat is the number of symmetric relations on the set (A={1,2,3,4})?Class 12Relations and FunctionsSymmetric relationHardMathematicsIf (A={1,2,3}) and (R={(a,b):a+b\text{ is even}}), choose the correct statement about (R).Class 12Relations and FunctionsSymmetric relationHardMathematicsIf (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 relationHardMathematicsIf the matrix of a relation (R) is (M=\begin{pmatrix}1&0&1\0&1&0\1&0&0\end{pmatrix}), what can be said about (R)?Class 12Relations and FunctionsSymmetric relationHardMathematicsLet (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 relationHardMathematicsIf (A) has (4) elements, how many symmetric relations are not reflexive?Class 12Relations and FunctionsSymmetric relationHardMathematicsOn integers, (R={(a,b):a-b\equiv 1 \pmod{4}}). Is (R) symmetric?Class 12Relations and FunctionsSymmetric relationHardMathematicsOn (A={1,2,3}), (R={(1,2),(2,1),(2,3),(3,2)}). Will ((1,3)) belong to (R\circ R)?Class 12Relations and FunctionsSymmetric relationHardMathematicsOn (A={1,2,3,4}), (R={(a,b):a\equiv -b \pmod{5}}). What is the correct statement about (R)?Class 12Relations and FunctionsSymmetric relationHardMathematicsOn a set with (4) elements, how many symmetric relations have exactly (3) diagonal pairs?Class 12Relations and FunctionsSymmetric relationHardMathematicsOn (A={1,2,3,4}), (R) is reflexive. If (R\subseteq S\subseteq A\times A), what conclusion about (S) is certain?Class 12Relations and FunctionsReflexive relationHard

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