Samacheer Kalvi 12th Maths Book Back Answers: All 12 Chapters
The book back questions in your Samacheer Kalvi 12th Maths textbook are the single highest-return thing you can revise. They are written by the same people who set the pattern for the public exam, and a large share of the one-mark section is either lifted straight from them or built on the same idea with different numbers.
This page collects the book back answers for all twelve chapters of the Class 12 Mathematics syllabus, with a worked explanation for every option rather than just a letter.
All 12 chapters of 12th Maths
The Tamil Nadu State Board Class 12 Mathematics syllabus is split across two volumes and twelve chapters:
| Unit | Chapter | Volume |
|---|---|---|
| 1 | Applications of Matrices and Determinants | 1 |
| 2 | Complex Numbers | 1 |
| 3 | Theory of Equations | 1 |
| 4 | Inverse Trigonometric Functions | 1 |
| 5 | Two Dimensional Analytical Geometry II | 1 |
| 6 | Applications of Vector Algebra | 1 |
| 7 | Applications of Differential Calculus | 2 |
| 8 | Differentials and Partial Derivatives | 2 |
| 9 | Applications of Integration | 2 |
| 10 | Ordinary Differential Equations | 2 |
| 11 | Probability Distributions | 2 |
| 12 | Discrete Mathematics | 2 |
You can open any chapter from the 12th Maths chapter list, where each one has solved MCQs, study notes, a formula sheet and an interactive practice test.
How to actually use book back answers
Most students read the answer, nod, and move on. That feels like studying but it is not, because recognising a solution is a much weaker skill than producing one. Use this order instead:
- Attempt the question cold. Cover the options if you can. Write something down even if you are unsure.
- Check the answer. If you were right, read the explanation anyway and compare it to your method. A shorter route is worth learning.
- If you were wrong, find the exact step. Not "I got confused" but "I forgot that multiplying by i rotates by ninety degrees". Write that one line in a mistakes notebook.
- Come back in three days and redo only the ones you got wrong.
That mistakes notebook becomes your revision material in the last week. By then you should not be re-reading the whole textbook, you should be re-reading twenty lines of your own errors.
Chapters that carry the most one-mark weight
Not every chapter gives the same return per hour. Based on how the book back MCQs are distributed, these are dense with quick, formula-driven one-markers:
- Complex Numbers. Powers of i, modulus properties, principal argument and cube roots of unity come up repeatedly. Almost all of it is one-line reasoning once the property is known.
- Applications of Matrices and Determinants. Rank, adjoint, inverse and the properties of determinants are highly testable and rarely need long computation.
- Applications of Vector Algebra. Scalar triple product, coplanarity conditions and the angle between planes are standard MCQ fodder.
- Discrete Mathematics. Binary operations, group axioms and logical connectives are the closest thing to free marks in the paper if you know the definitions precisely.
Chapters like Applications of Differential Calculus and Ordinary Differential Equations tend to carry more of their weight in the longer sections, so treat their MCQs as a check on your concepts rather than the main event.
Common traps in 12th Maths MCQs
A few mistakes account for a surprising number of lost one-marks:
- Principal argument range. Answers must land in the interval from negative pi to pi. Getting the angle right but the branch wrong is a full mark gone.
- Domain of inverse trigonometric functions. The principal value branches differ from function to function, and questions are deliberately set just outside them.
- Sign conventions in analytical geometry. Rewriting an equation into standard form before reading off values prevents most of these.
- Reading "least" as "greatest". In modulus and inequality questions the paper often asks for the opposite of what you expect. Underline the word.
Where to practise
Reading solutions is step one. The check is whether you can produce them under time pressure. Every chapter on the Class 12 Maths section has a timed practice test where you pick the number of questions and get an instant score, plus a formula sheet you can revise from on a phone the night before the exam.
Start with the chapter you are currently being taught in class rather than chapter one. Keeping your practice aligned with your lessons is what makes revision stick.