Block Classroom courses  The NDA Exam is one of the best ways to start your career into the defense. Here in this article. we will discuss the complete details of the NDA Paper and its pattern and how to prepare for this exam in a better way. We will share with you the NDA Mathematics Notes PDF, you can download NDA Mathematics Notes, NDA Exam mathematics notes.  I have shared this at the bottom of this article, you can download it from there.

The Exam of NDA is conducted by the Union Public Service Commission twice in a year for the selection of the candidates into the Indian Armed forces. The written Exam of NDA is conducted in two parts and the first part is Mathematics and the second part is GAT (General Ability Test)

Part-I  In this paper you will be given 120 questions of mathematics.

• Max marks 300.
• Time duration 2.5hrs
• The candidate will be given 2.5 marks on each right answer.
• Negative marking 0.83 for each wrong answer.

Part-II In this paper you will be given 50 questions of English and 100 question from GS.

• Max mars 600.
• Time duration 2.5hrs
• The candidate will be given 4 marks on each right answer.
• Negative marking 1.33 for each wrong answer

Latest NDA Syllabus, Exam Pattern For Mathematics and GAT

Candidates will be given 45min  rest time between part I and part II paper. Here we will talk about the syllabus of  Part 1 (mathematics). To score good int eh NDA exams, the candidate’s class 12th NCERT must be clear in a good manner. Most of the questions would be asked from the class 11th and 12th NCERT. The syllabus is:

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ALGEBRA- Concept 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. Conversion of a number in decimal system to binary system and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with real coefficients. The solution of linear inequations of two variables by graphs.

MATRICES AND DETERMINANTS:-  Types of matrices, operations on matrices. The 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.

TRIGONOMETRY:- Angles 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 OF TWO AND THREE DIMENSIONS:- Rectangular Cartesian Coordinate system. Distance formula. Equation of a line in various forms. The angle between the two lines. The 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. The point in a three-dimensional space, distance between two points. Direction Cosines and direction ratios. Equation two points. Direction Cosines and direction ratios. Equation of a plane and a line in various forms. The angle between the two lines and the angle between the two planes. Equation of a sphere.

DIFFERENTIAL CALCULUS:- Concept of a real-valued function–domain, range, and graph of a function. Composite functions, one to one, onto and inverse functions. 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. Derivatives of sum, product, and quotient of functions, the derivative of a function with respect to another function, the derivative of a composite function. Second-order derivatives. Increasing and decreasing functions. Application of derivatives in problems of maxima and minima.

INTEGRAL CALCULUS AND DIFFERENTIAL EQUATIONS:- Integration as inverse of differentiation, integration by substitution and by parts, standard integrals involving algebraic expressions, trigonometric, exponential and hyperbolic functions. Evaluation of definite integrals—determination of areas of plane regions bounded by curves—applications. Definition of order and degree of a differential equation, formation of a differential equation by examples. General and particular solution of differential equations, solution of the first order and first-degree differential equations of various types—examples. Application in problems of growth and decay.

VECTOR ALGEBRA:- Vectors in two and three dimensions, magnitude and direction of a vector. Unit and null vectors, the 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.

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STATISTICS AND PROBABILITY:-

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. Conditional probability, Bayes’ theorem—simple problems. Random variable as function on a sample space. Binomial distribution, examples of random experiments giving rise to Binominal distribution.