12th Mathematics Chapter Study Material English Medium 2021 By S Rajan M Sc M Phil M Ed Updated May 2026

Comprehensive Guide: 12th Mathematics Chapter Study Material (English Medium) 2021 by S. Rajan M.Sc., M.Phil., M.Ed.

That night they argued until the moon rose and cast a white disc over their incomplete circles. Exhausted, they fell asleep with the problem between them. In a dream, the moon gathered the three circles’ halves and spun them like threads. When the siblings woke, the moonlight had left a pattern on the floor: three arcs, each tangent to two walls.

Language simplicity

| Parameter | S Rajan 2021 | RD Sharma | NCERT Exemplar | |-----------|--------------|-----------|----------------| | | High (targets average student) | Moderate | High (dry but accurate) | | Number of solved examples | 350+ | 1000+ (overwhelming) | 200+ | | Exam tricks & shortcuts | Yes (chapter-wise) | Few | No | | Pandemic-era syllabus alignment | Yes (2021 reduced syllabus) | No (full syllabus) | Yes (NCERT reduced) | | Best for | Board + state entrance exams | JEE Mains only | Conceptual clarity | Amazon

• Amazon.in – Search the exact keyword; look for “New/Used” copies.
• Flipkart – Many sellers list the 2021 print.
• Local bookstores – Especially in Tamil Nadu, Karnataka, and Delhi (due to S. Rajan’s regional popularity).
• Digital copies – Some educational Telegram channels share scanned PDFs (though legally, buying the original is recommended for the QR access).

1.2 Key Definitions

Chapter–wise Study Material

Roots formation: If $\alpha, \beta, \gamma$ are roots, equation is $x^3 - (\Sigma \alpha)x^2 + (\Sigma \alpha\beta)x - \alpha\beta\gamma = 0$.