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JEE Main Mathematics

Sets, Relations and Functions

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A timed sectional mock on this unit

Sets and their operations, relations and equivalence relations, and functions: one-one, onto and their composition.

Key formula
n(A∪B)=n(A)+n(B)−n(A∩B),(g∘f)(x)=g(f(x))n(A \cup B) = n(A) + n(B) - n(A \cap B), \quad (g \circ f)(x) = g(f(x))

What this unit covers

  • Sets and their representation

  • Union, intersection and complement of sets and their algebraic properties

  • Power set

  • Relations

  • Functions

  • Types of relations, equivalence relations

  • One-one, into and onto functions

  • The composition of functions

Other units in JEE Main Mathematics