Relations and Functions
Class 12 Maths Relations and Functions — types of relations, injective, surjective, bijective functions, composition, inverse and binary operations with solved examples and MCQ tests.
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Relations & Types of Relations
Whenever two objects are connected by a rule "is the brother of", "is less than", "leaves the same remainder as" mathematics records that connection a…
Start this topic → 2Functions: One-One, Onto & Bijective
A function is a special relation that assigns to every element of the domain exactly one element of the codomain . Two demands must both hold: nothing…
Start this topic → 3Composition of Functions & Invertible Functions
Once we have functions we can chain them and, when they are bijective, reverse them. These two ideas composition and inverse are the practical payoff …
Start this topic →Chapter-wide tests
Online Test
10 MCQ • 20 min
IMO / Olympiad Practice
Olympiad level • 20 min
📝 Full Chapter Test (Download & Print)
35 marks • 75 min • with answer key