Mathematics IA
TS Intermediate 1st Year Mathematics IA (Algebra, Vectors & Trigonometry) — 10 chapters based on the official TGBIE Annual Plan 2025-26. Formula sheets, important questions, revision checklists and more.
Study Resources
🧮Chapter-wise
Formula Sheet
All key formulas chapter-wise
Explore →📝SAQ · LAQ
Important Questions
High-frequency SAQ and LAQ questions
Explore →✅Track Progress
Revision Checklist
Chapter-wise what to revise before exam
Explore →⏰Exam Day Prep
Last-Minute Revision
30-point rapid review for exam day
Explore →📊Marks Split
Weightage Analysis
Marks distribution by chapter
Explore →✍️Score More
Exam Writing Tips
How to present answers for full marks
Explore →📄Practice Papers
Model Papers
Practice papers with marking scheme
Explore →📋Past Papers
Previous Year Papers
TGBIE past exam papers
Explore →Syllabus — 10 Chapters (2025-26)
1
Functions
Types of functions, Inverse functions, Domain, Range
2
Mathematical Induction
Principle, Theorems, Divisibility problems
3
Matrices
Types, Operations, Determinants, Adjoint, Inverse, Rank, Linear equations
4
Addition of Vectors
Classification, Addition, Scalar multiplication, Components in 3D
5
Product of Vectors
Dot product, Cross product, Triple products, Vector equations
6
Trigonometric Ratios up to Transformations
Compound angles, Multiple angles, Sub-multiple angles, Sum-product rules
7
Trigonometric Equations
General solutions, Simple trigonometric equations
8
Inverse Trigonometric Functions
Graphs, Properties, Bijection conditions
9
Hyperbolic Functions
Definitions, Graphs, Inverse hyperbolic, Addition formulas
10
Properties of Triangles
Sine rule, Cosine rule, Tangent rule, Half-angle formulas, In-circle, Ex-circle