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JEE Advanced (IIT-JEE)

Sets, Relations and Functions

No official chapter weightage

Sets and the operations on them, relations and equivalence relations, and functions: domain, range, one-one, onto, composition and inverse.

(A∪B)′=A′∩B′,n(A∪B)=n(A)+n(B)−n(A∩B)(A \cup B)' = A' \cap B', \quad n(A \cup B) = n(A) + n(B) - n(A \cap B)

What this unit covers

  • Sets, subsets, power set; union, intersection, complement and difference; De Morgan's laws

  • Relations and equivalence relations; domain, codomain and range

  • Into, onto and one-to-one functions; composition and inverse of functions

  • Even and odd functions; sum, difference, product and quotient of functions

Other units in JEE Advanced (IIT-JEE)