If you are willing to serve the nation by joining Indian Airforce, Indian Army or Indian Navy after 12th class, you should clear the written examination first. Check the eligibility conditions first.

NDA entrance exam syllabus is clearly described below.**Paper I: NDA entrance exam syllabus for Mathematics:**

Mathematics is the most important part of NDA entrance exam syllabus. For Mathematics, Maximum Marks is allotted 300 and time 2.30Hours. You should study the below chapters of mathematics as mentioned in the official syllabus for the Exam.

**a. Algebra is a important subject to study for NDA entrance exam:**

Concept of set, operations on sets, Venn diagrams.

Complex numbers—basic properties, modulus, argument, cube roots of unity.

Binary system of numbers.

Conversion of a number in decimal system to binary system and vice-versa.

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.

**b. NDA entrance exam Maths syllabus includes Matrices and 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.

**c. Trigonometry is another important subject to study:**

Trigonometrical ratios. Trigonometric identities Sum and difference formulae.

Multiple and Submultiple angles.

Inverse trigonometric functions. Applications-Height and distance, properties of triangles.

**d. You should have good knowledge of Analytical Geometry of Two and Three Dimensions:**

Distance formula. Equation of a line in various forms. Angle between two lines.

Distance of a point from a line. Equation of a circle in standard and in general form.

Standard forms of parabola, ellipse and hyperbola. Eccentricity and axis of a conic.

Point in a three dimensional space, distance between two points. Direction Cosines and direction ratios.

Equation two points. Direction Cosines and direction ratios.

Angle between two lines and angle between two planes. Equation of a sphere.

**e. Differential Calculus is another important subject for NDA entrance exam maths syllabus:**

Notion of limit, Standard limits examples. Continuity of functions examples, algebraic operations on continuous functions.

Derivative of function at a point, geometrical and physical interpretation of a derivative applications.

Evaluation of definite integrals, determination of areas of plane regions bounded by curves, applications.

General and particular solution of a differential equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay.

**g. Study Vector Algebra for NDA:**

Unit and null vectors, addition of vectors, scalar multiplication of a vector, scalar product or dot product of two vectors.

Vector product or cross product of two vectors.

Applications-work done by a force and moment of a force and in geometrical problems.

**Statistics :**Classification of data, Frequency distribution, cumulative frequency distribution examples.

Graphical representation Histogram, Pie Chart, frequency polygon examples.

Measures of Central tendency Mean, median and mode.

Variance and standard deviation determination and comparison. Correlation and regression.

**Probability :**Random experiment, outcomes and associated sample space, events, mutually exclusive and exhaustive events, impossible and certain events.

Union and Intersection of events. Complementary, elementary and composite events.

Definition of probability, classical and statistical examples. Elementary theorems on probability- simple problems.

**Paper-II :**

**General Ability Test for NDA.**

**Part ‘A’ NDA entrance exam Knowledge of English Language syllabus:**

The syllabus covers various aspects like-

- Grammar and usage,
- vocabulary,
- comprehension and
- cohesion in extended text to test the candidate’s proficiency in English.

**Part ‘B’ NDA entrance exam Syllabus for General Knowledge:**

The question paper on General Knowledge will broadly cover the subjects : Physics, Chemistry, General Science, Social Studies, Geography and Current Events. Maximum marks for this paper is allotted 400.

**a. NDA entrance exam Physics Syllabus:**

**b. NDA entrance exam Chemistry Syllabus:**

c. General Science syllabus forNDA entrance exam:Difference between the living and non-living.

Basis of Life—Cells, Protoplasms and Tissues.

Growth and Reproduction in Plants and Animals.

Elementary knowledge of Human Body and its important organs.

Common Epidemics, their causes and prevention.

Food—Source of Energy for man. Constituents of food, Balanced Diet.

The Solar System—Meteors and Comets, Eclipses.

Achievements of Eminent Scientists.

**d. NDA entrance exam Syllabus for History, Freedom Movement:**

**e. NDA entrance exam Syllabus for Knowledge of Geography:**

### Conclusion:

Here is all you need to know about the Procedure to join NDA after 12th. Besides, you can join Indian Airforce after graduation through AFCAT and through CDSE.

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