Download the NDA 2 2023 Mathematics Original Question Paper first published by SSBCrackExams. The NDA 2 2023 Exam was Conducted by the Union Public Service Commission all over the Country on 03rd September 2023.
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Several male and female applicants seeking admission to the prestigious National Defence Academy have taken the NDA 2 2023 exam offline on September 03, 2023. Prepare for the next NDA Exams by downloading the NDA 2 2023 Exam Question Paper PDFs for Mathematics from the article.
NDA 2 2023 Maths Original Question Papers [All Sets]
NDA 2 2023 Exam Pattern & Analysis
| S.No. | Subjects | Marks |
| 1. | Maths | 300 |
| 2. | English | 200 |
| 3. | Physics | To Be Updated |
| 4. | Chemistry | To Be Updated |
| 5. | General Science | To Be Updated |
| 6. | History, Freedom Movement, etc. | To Be Updated |
| 7. | Geography | To Be Updated |
| 8. | Current Events and Defence-Specific | To Be Updated |
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NDA 2 2023 Maths Question Papers [Original – All Sets]
| NDA 2 2023 Paper Mathematics | Download PDF (UPDATED) |
| Set A | Download |
| Set B | Download |
| Set C | Download |
| Set D | Download |
NDA 2 2023 Answer Keys [Complete Solution]
NDA 2 2023 Correct Answer Keys are marked with GREEN TICK MARK. For detailed NDA 2 2023 Answer Key Solutions, watch the Live Sessions of SSBCrackExams.
NDA 2 2023 Written Examination
| Paper | Subject | Duration | Maximum Marks |
| I | Mathematics | 2.5 hours | 300 |
| II | General Ability Test | 2.5 hours | 600 |
| Total | 900 marks |
NDA 2 2023 General Ability Test
| Part | Subject | Maximum Marks |
| Part A | English | 200 |
| Part B | General Knowledge | 400 |
| Total | 600 |
NDA 2 2023 Exam Maths Syllabus
PAPER-I
| MATHEMATICS | (Maximum Marks-300) |
| 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. Solution of linear inequations of two variables by graphs. Permutation and Combination. Binomial theorem and its applications. Logarithms and their applications. |
| MATRICES AND DETERMINANTS | Types of matrices, operations on matrices. Determinant of a matrix, basic properties of determinants. Adjoint and inverse of a square matrix, ApplicationsSolution 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 Submultiple 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 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, the 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 two lines and the angle between 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. The 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, derivative of a function with respect to another function, 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. A general and particular solution of differential equations, solution of 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, 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 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. |
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