NDA Previous Year Questions (PYQs)

Sets Venn diagrams De Morgan laws Real numbers Complex numbers Modulus of complex numbers Argument of complex numbers Binary system Binary conversions Permutation Combination Binomial theorem Logarithms Arithmetic progression Geometric progression Harmonic progression Quadratic equations Linear inequations

Types of matrices Matrix operations Determinant properties Adjoint of a matrix Inverse of a matrix Cramer's rule Matrix method for solving equations

Angles Trigonometric ratios Trigonometric identities Sum and difference formulae Multiple angle formulae Sub-multiple angle formulae Inverse trigonometric functions Height and distance problems Triangle properties

2D Cartesian system Equation of a line Angles in coordinate geometry Distance between points Equation of a circle Tangent to a circle Parabola Ellipse Hyperbola Eccentricity of conics 3D points Distance in 3D Direction ratios Equation of a line in 3D Equation of a plane Equation of a sphere

Functions: domain and range Graph of functions Composite functions Inverse functions Limits Continuity Derivatives Maxima and minima Increasing and decreasing functions

Indefinite integration Definite integration Standard integration formulas Area under curves Differential equations: order and degree First-order differential equations Growth and decay problems

Vectors in 2D Vectors in 3D Magnitude of vectors Direction of vectors Unit vectors Null vectors Scalar product Vector product Applications of vectors: work Applications of vectors: force Geometrical problems using vectors

Mean Median Mode Standard deviation Variance Basic probability Conditional probability Bayes' theorem Binomial distribution