Gagan Pratap Advance Maths Complete Class Notes Exclusive [verified] File

Complete Class Notes: Advance Maths by Gagan Pratap Sir (2026 Edition) is a bilingual (Hindi and English) study guide designed for aspirants of SSC CGL (Tier I & II), CHSL, CPO, MTS, and other competitive government exams. Published by Champion Publication

How to Use These Notes Effectively

  1. Start with the summary sheet for each chapter to get the map of key results.
  2. Read definitions and theorem statements first; then study 1–2 worked examples to see application.
  3. Attempt graded problems actively: do easy ones first, then timed solving of medium/hard problems.
  4. When a step seems skipped, reconstruct the missing reasoning yourself or consult a standard textbook.
  5. Create your own annotated copy—rewrite proofs in your words and add margin notes with alternative methods.
  6. Maintain a “common mistakes” log: note recurring pitfalls (sign errors, domain issues, boundary conditions).
  7. Use the notes for revision cycles: concept pass → problem pass → timed mock tests using problems from the notes.

is a comprehensive, bilingual study guide specifically designed for competitive exams like SSC CGL, CHSL, and Railways. Published by Champion Publication gagan pratap advance maths complete class notes exclusive

Comprehensive Coverage: Spans approximately 624 to 896 pages depending on the specific edition. Core Topics Covered Complete Class Notes: Advance Maths by Gagan Pratap

C. Quadrilaterals (चतुर्भुज)

  • Parallelogram: Opposite sides are equal and parallel; Diagonals bisect each other.
  • Rectangle: Diagonals are equal. Area = $L \times B$.
  • Rhombus: All sides equal. Diagonals bisect at 90°. Area = $\frac12 \times d_1 \times d_2$.
  • Square: All properties of Rectangle + Rhombus. Diagonal = $side \times \sqrt2$.
  • Trapezium: One pair of sides parallel.
  • Important Theorem: Mid-point Theorem (Line joining mid-points of two sides is parallel to the third side and half of it).