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NDA Syllabus 2026: Get Subject-wise Detailed Topics

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  • Updated April 25, 2026 11:47 AM
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NDA Syllabus 2026

  • NDA Syllabus 2026 comprehensively covers Mathematics (300 marks) and General Ability Test (GAT) (600 marks) for the Union Public Service Commission (UPSC) National Defence Academy (NDA) & Naval Academy (NA) exam, based on Class 11-12 curriculum. Essential for NDA 1 2026 (April) and NDA 2 2026 (September), it emphasizes Algebra, Trigonometry, Calculus, Physics, Chemistry, English Grammar, History, Geography, and Current Events.
  • Download the official UPSC NDA Syllabus PDF for precise preparation using NCERT books, previous papers, and mock tests to ace the 900-mark written exam followed by SSB Interview (900 marks). Master high-weightage topics like Quadratic Equations, Newton's Laws, and Comprehension for success.

NDA Exam Pattern 2026

SubjectQuestionsMarksCorrect (+)Incorrect (-)Duration
Mathematics120300+2.5-0.832½ hours
General Ability Test (GAT)150600+4-1.332½ hours
Total270900--5 hours
  • The NDA written exam features two objective papers with negative marking. Total duration: 5 hours.

NDA Syllabus for Mathematics

TopicSub-Topics
ALGEBRAConcept of set, operations on sets, Venn diagrams, De Morgan laws, Cartesian product, Relation, Equivalence relation; Representation of real numbers on a line; Complex numbers-basic properties, modulus, argument, cube roots of unity; Binary system of numbers; Arithmetic, Geometric and Harmonic progressions; Quadratic equations with real coefficients; Solution of linear inequations of two variables by graphs; Permutation and Combination; Binomial theorem and its applications; Logarithms and their applications.
MATRICES AND DETERMINANTSTypes of matrices, operations on matrices; Determinant of a matrix, basic properties of determinants; Adjoint and inverse of a square matrix, Applications-Solution of a system of linear equations in two or three unknowns by Cramer’s rule and by Matrix Method.
TRIGONOMETRYAngles and their measures in degrees and in radians; Trigonometrical ratios; Trigonometric identities sum and difference formulae; Multiple and Sub-multiple angles; Inverse trigonometric functions; Applications-Height and distance, properties of triangles.
ANALYTICAL GEOMETRY (2D)Rectangular Cartesian and polar coordinates; Equations of a line, distance formula, intersection of lines, angle between two lines, equations of a circle, parabola, ellipse and hyperbola.
ANALYTICAL GEOMETRY (3D)Vectors in 2D and 3D space; Scalar and Vector products; Standard equations of sphere, right circular cone and cylinder.
DIFFERENTIAL CALCULUSFunctions, limits, continuity, differentiation; Applications of derivatives-rate of change of quantities, maxima and minima, tangents and normals, simple problems of maxima and minima.
INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONSIntegration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions; Formation of ordinary differential equations; Solution of first order differential equations by separation of variables, homogeneous and linear differential equations.
VECTOR ALGEBRAScalar and Vector triple products, application to plane vectors.
STATISTICAL AND PROBABILITYMeasures of central tendency and dispersion; applications of probability, Binomial Distribution.
  • Mathematics syllabus spans Class 11-12 topics, testing analytical skills (120 questions, 300 marks).
  • Key Topics List:
  • Algebra
  • Matrices and Determinants
  • Trigonometry
  • Analytical Geometry (2D)
  • Analytical Geometry (3D)
  • Differential Calculus
  • Integral Calculus and Differential Equations
  • Vector Algebra
  • Statistics and Probability

Q1. What is the NDA Syllabus 2026 for Mathematics?

  • Includes Algebra (sets, quadratics), Trigonometry (identities), Calculus (derivatives, integrals), Matrices, Vectors, Geometry (2D/3D), Probability – 120 MCQs, 300 marks.

Q2. Is NDA Syllabus 2026 released?

  • Yes, published in UPSC NDA notification; identical to previous years, covering Class 11-12 NCERT level for Maths & GAT.

Q4. How to prepare NDA Maths syllabus 2026?

  • Study NCERT 11-12, practice previous year questions; focus Trigonometry/Algebra (40% weightage), solve 50+ mocks.
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