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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={(1,2),(2,1),(2,3),(3,2)}) on (A={1,2,3}), why is (R) symmetric but not an equivalence relation?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,2),(2,1),(2,3)}), which pair must be in (R\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,2),(2,3)}) and (S={(2,4),(3,5)}), what is (S\circ R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,2),(2,4),(4,1)}), what is (R^{-1})?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R) is symmetric and ((3,5)\in R), which statement about (R^{-1}) is correct?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,1),(2,2),(3,3),(1,2),(2,1),(2,3)}) on (A={1,2,3}), which property definitely fails?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsWhich transitivity requirement fails for R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,3),(3,4),(1,3),(2,4)} on A={1,2,3,4}?Class 12Relations and FunctionsTransitive relationLevel 3Hard MathematicsIf (R={(1,1),(2,2),(3,3),(4,4),(1,2),(2,4),(1,4)}) on (A={1,2,3,4}), what type of relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf divisibility relation is defined on (A={2,3,5,30}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf divisibility relation is defined on (A={2,4,6,12}), which is the least element?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf divisibility relation is defined on (A={2,3,4,6,12}), which is the greatest element?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsOn (A={1,2,3,6}), if (aRb) when (a) divides (b), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsOn (A={1,2,3,4,5}), if (aRb) when (a+b) is odd, how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsOn (A={1,2,3,4,5}), if (aRb) when (a+b) is even, how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6,7,8}) when (a\equiv b \pmod{4}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6,7,8}) when (a-b) is divisible by (3), what is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{2}), how many pairs are in (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsFor the partition ({{1},{2,3},{4,5}}) of (A={1,2,3,4,5}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsFor the partition ({{1,2},{3,4,5}}) of (A={1,2,3,4,5}), how many pairs are in the equivalence relation formed by it?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard MathematicsIf (R={(1,2),(2,3),(3,4),(1,3),(2,4)}), which minimum pair must be added to make it transitive?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Hard