Mathematics
Sets, relations, and functions for JEE — foundations of calculus
How JEE Main and Advanced test injectivity, composition, piecewise graphs, and functional equations.
On JEE Main
Main focuses on translating words into set notation, determining whether a relation is an equivalence relation, and checking injectivity/surjectivity of standard functions. Piecewise and mod graphs appear as graph-identification options.
On JEE Advanced
Advanced uses multi-correct and integer questions involving functional equations, image and preimage of sets, and composition chains. A small domain mistake after substitution typically eliminates two otherwise correct options.
How to practise
Practise on PracticeJEE under Mathematics → Sets, Relations and Functions for structured repetition on both MCQ and numeric variants.
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