Study Material English Medium 2021 By S Rajan M Sc M Phil M Ed [hot] — 12th Mathematics Chapter

Review

Specific Study Materials:

Step-by-Step Solutions: Complex problems are broken down into logical steps. Take the ‘Self-Assessment Test’ at chapter end –

Phase 3: Mastery (Days 26–40)

• Take the ‘Self-Assessment Test’ at chapter end – 45 minutes, no looking back.
• Solve the ‘2021 Special Supplement’ (available only in the 2021 edition) – 100 mixed problems.

1. Learning Objectives – What you will master.
2. Concept Maps – Visual overview of formulas and connections.
3. Solved Examples (Step-by-Step) – With S. Rajan’s signature “Think Boxes” explaining the logic behind each step.
4. Common Errors & Remedies – Based on 20+ years of teaching experience.
5. Exercise Sets – Graded from Basic (NCERT level) to Advanced (JEE Main/State Entrance level).
6. Previous Year’s Board Questions (2015–2020) – Chapter-wise compilation.
7. Self-Assessment Tests – With time limits.

Unit III: Theory of Equations

• Topics: Relation between roots & coefficients, transformation of equations, reciprocal equations.
• S Rajan’s Unique Approach: Mnemonic “S.P.R” – Sum, Product, Reciprocal transformation rules. Numerous solved problems from 2010–2020 board papers.

CHAPTER 4: INVERSE TRIGONOMETRIC FUNCTIONS

4.1 Domain and Range Table

| Function | Domain | Range | | :--- | :--- | :--- | | $\sin^-1 x$ | $[-1, 1]$ | $[-\frac\pi2, \frac\pi2]$ | | $\cos^-1 x$ | $[-1, 1]$ | $[0, \pi]$ | | $\tan^-1 x$ | $(-\infty, \infty)$ | $(-\frac\pi2, \frac\pi2)$ | Learning Objectives – What you will master

Chapter 3: Matrices and Determinants

• Topics: Matrix operations, types (symmetric, skew), determinant properties, adjoint, inverse, rank, consistency of linear systems, Cramer’s rule.
• Key formulas:

  Unit 10: Ordinary Differential Equations – Comprehensive study material for this chapter. Topics: Matrix operations