CBSE · Class 6-12

Topic

Sets, Functions & Matrices

The foundational language of higher mathematics.

6 units·3 classes covered·1 practice-ready

Why this matters

Everything in higher maths is built on two moves: 'here is a collection' (a set) and 'here is a rule that pairs things up' (a function). Learn these and the rest becomes readable.

Databases, programming, machine learning, statistics — every field that manipulates structured information IS applied set theory. Matrices are how those sets and functions get crunched at industrial scale.

The story arc

Class 9Propositions and their converses — the logic that underlies proofs.
Class 11Sets, relations, functions and their properties.
Class 12Matrices, determinants and solving systems at scale.

Topic-wise practice paper

Mixed practice — all classes, one paper

15 hand-picked questions spanning every class where this topic appears. Auto-scores with hint ladder + AI Tutor when you're stuck.

Class 9

1 unit

Propositions and their Converses

What is a statement, when is it true, and how does a converse behave differently?

Class 11

3 units

Sets, subsets, power sets, universal set, Venn diagrams, operations on sets.

Relations and Functions

Cartesian products, relations, functions, domain, range, real-valued functions.

Trigonometric Functions

Angles, radian measure, trigonometric functions, identities, and equations.

Class 12

2 units

Relations and Functions

Types of relations, functions, invertibility, and composition.

Inverse Trigonometric Functions

Domain, range, and principal values of $\sin^{-1}, \cos^{-1}, \tan^{-1}$, and identities.