NDA Paper I – Mathematics

UPSC National Defence Academy & Naval Academy, Paper I (class 11–12 mathematics).

Duration: 150 minutes. Mock tests: 20.

Syllabus topics

• Sets, Relations and Functions
• Complex Numbers
• Quadratic Equations and Inequalities
• Sequences and Series
• Permutations and Combinations
• Binomial Theorem
• Logarithms
• Binary Number System
• Matrices
• Determinants
• Trigonometric Ratios and Identities
• Inverse Trigonometric Functions
• Properties of Triangles, Heights and Distances
• Straight Lines
• Circles
• Parabola, Ellipse and Hyperbola
• Three-Dimensional Geometry
• Vector Algebra
• Functions, Limits and Continuity
• Differentiation
• Applications of Derivatives
• Indefinite Integration
• Definite Integrals and Area
• Differential Equations
• Statistics, Correlation and Regression
• Probability