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Revision Bank
Class 12Mathematics · Ch 1JEE

Relations and Functions

Relations and FunctionsIntroduction (1.1)–Relation from A to BFunction recapTypes of Relations (1.2)–Empty relationUniversal relationTrivial relationsReflexiveSymmetricTransitiveEquivalence relation–Equivalence class [a]Partition propertyCongruence modulo 2Standard checks–Lines parallel or perpendicularTriangles similara ≤ b² typeTypes of Functions (1.3)–One-one (injective)–TestMany-oneOnto (surjective)–Range = codomainBijectiveFinite set propertyStandard examplesComposition and inverse (1.4)–gof(x) = g(f(x))–Order mattersInvertible function–Bijective iff invertibleFinding f⁻¹Composition keeps bijectionExam focus–Prove equivalence relation

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