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Equivalence Class

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

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 a relation (R) on (A={1,2,3,4}) puts all elements in one equivalence class, what relation is (R)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6,7}) when (a-b) is divisible by (4), what is the equivalence class of (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsIf (aRb) on (A={1,2,3,4,5,6}) when (a\equiv b \pmod{3}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 2Hard MathematicsOn (A={1,2,3,4,5,6}), (aRb) iff (a) and (b) leave the same remainder on division by (3). What is the class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn integers, (aRb) iff (a) and (b) leave the same remainder when divided by (4). What is the equivalence class of (0)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Hard MathematicsOn (A={1,2,3,4,5}), if (aRb) when (a\equiv b \pmod{3}), what is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsOn (A={1,2,3,4}), if (aRb) when (a\equiv b \pmod{2}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsOn integers, (aRb) if (a-b) is divisible by (5). In which class will (7) lie?Class 12Relations and FunctionsIntroduction to RelationsLevel 3Medium MathematicsFor the same-remainder modulo (3) relation on ({1,2,3,4,5,6}), what is the equivalence class of (2)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIn ({1,2,3,4,5,6}), how many equivalence classes are formed by the relation of having the same remainder on division by (3)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium MathematicsIn the same-parity relation on ({1,2,3,4}), what is the equivalence class of (1)?Class 12Relations and FunctionsIntroduction to RelationsLevel 1Medium