NDA Algebra Cheat Sheet - Free Study Material

Algebra Cheat Sheet for NDA Exam

Master the mathematics section of the UPSC National Defence Academy examination with this comprehensive Algebra cheat sheet. Designed specifically around the latest NDA syllabus and exam pattern, this concise high-yield study material covers essential formulas, shortcuts, and core concepts across all important chapters in algebra. Whether you are revising fundamental principles or looking for quick problem-solving techniques to boost your speed and accuracy during revision, this essential guide serves as an indispensable tool for aspirants aiming to score high marks.

Key Topics Covered

• Sets, Relations, and Functions: Venn diagrams, types of relations, domain, range, and composite functions.
• Complex Numbers: Basic operations, modulus, conjugate, argument, and De Moivre's Theorem.
• Quadratic Equations: Nature of roots, sum and product of roots, and formation of equations.
• Progressions: Arithmetic Progression (AP), Geometric Progression (GP), and Harmonic Progression (HP) shortcuts.
• Permutations and Combinations: Fundamental principles of counting, factorial notation, and selection rules.
• Binomial Theorem: General term, middle term, and expansion properties.
• Matrices and Determinants: Types of matrices, determinant properties, adjoint, and inverse calculation.
• Logarithms: Fundamental laws, change of base theorem, and algebraic applications.