Gagan Pratap Advance Maths Complete Class Notes Exclusive Jun 2026

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, these notes are based on Gagan Pratap's actual classroom teaching and follow the updated Eduquity exam pattern Key Features of the Class Notes Bilingual Content : All theory and questions are provided in both Hindi and English to cater to students from different backgrounds. Structured Theory

Parallel lines, transversal properties, and angle bisectors.

Algebra requires a mix of formula application and logical substitution. Standard algebraic identities ( Quadratic equations, roots, and symmetric expressions. Linear equations and graphical representations. gagan pratap advance maths complete class notes exclusive

Instead of standard textbook methods, the book features handwritten-style solutions that mirror exactly how Gagan Sir solves problems in live classes. Exam-Oriented Layout:

The "Exclusive" aspect of these notes refers to their precision in targeting the syllabus of . The content is specifically curated for exams conducted by the Staff Selection Commission (SSC), Railway Recruitment Board (RRB), and others. The primary exams include:

The true value of these notes lies in the vast breadth of topics they cover. While the "Arithmetic" notes tackle foundational topics like Percentage, Profit-Loss, and Ratio, the notes dive deep into the more challenging areas that often decide the outcome of a Tier-II exam. This public link is valid for 7 days

Advanced problems involving the melting, recasting, or cutting of 3D solids. 3. Trigonometry & Heights and Distances

The notes cover all advanced chapters in depth:

Comprehensive coverage of circle theorems, tangents, and chords. Can’t copy the link right now

Properties of squares, rectangles, rhombuses, parallelograms, trapeziums, and regular polygons.

(A) $1386 \text cm^3$ (B) $1540 \text cm^3$ (C) $1690 \text cm^3$ (D) $1760 \text cm^3$

The 2026 edition of the book contains 896 pages of content, covering the entire advanced mathematics syllabus. The book is authored by Gagan Pratap Sir and published by Champion Publication, a well-known name for competitive exam study materials.

Explanation: $x^3 - \frac1x^3 = (x - \frac1x)^3 + 3(x - \frac1x)$. We know $(x - \frac1x)^2 = (x + \frac1x)^2 - 4 = 13 - 4 = 9$. So $(x - \frac1x) = 3$ or $-3$. Value $= (3)^3 + 3(3) = 27 + 9 = 36$... Wait, let's check options. Actually, formula is $x^3 - \frac1x^3 = (x - \frac1x) [(x - \frac1x)^2 + 3]$. Wait, standard formula: $x^3 - y^3 = (x-y)(x^2+xy+y^2)$. Here $y=1/x$. $x^3 - 1/x^3 = (x-1/x)( (x-1/x)^2 + 3 )$. If $x-1/x = 3$, Value $= 3(9+3) = 36$. Correction: There seems to be a calculation trick often used. Let's re-evaluate: $x + 1/x = \sqrt13$. Square it: $x^2 + 1/x^2 + 2 = 13 \implies x^2 + 1/x^2 = 11$. $x^3 - 1/x^3 = (x - 1/x)((x+1/x)^2 - 1)$. Wait, $x^3 - y^3 = (x-y)(x^2+y^2+xy)$. $x^3 - 1/x^3 = (x-1/x)(x^2+1/x^2+1)$. Need $x - 1/x$. $(x - 1/x)^2 = x^2 + 1/x^2 - 2 = 11 - 2 = 9$. So $x - 1/x = \pm 3$. Value $= 3(11+1) = 36$. Self-Correction in Options: The options in typical Gagan Pratad papers might involve $\sqrt13$. Let's check option (B) $4\sqrt13$. If $x^3 + 1/x^3$ was asked: $(x+1/x)^3 - 3(x+1/x) = 13\sqrt13 - 3\sqrt13 = 10\sqrt13$. If the question is $x^3 - 1/x^3$, answer is 36. Assuming standard question types, let's select the correct logic. Answer is 36.