{"id":4838,"date":"2020-01-21T05:26:46","date_gmt":"2020-01-21T05:26:46","guid":{"rendered":"https:\/\/www.trishuldefenceacademy.in\/blog\/?p=4838"},"modified":"2022-08-01T12:47:45","modified_gmt":"2022-08-01T07:17:45","slug":"nda-2020-syllabus","status":"publish","type":"post","link":"https:\/\/www.trishuldefenceacademy.in\/blog\/nda-2020-syllabus","title":{"rendered":"NDA 2020 Syllabus"},"content":{"rendered":"

NDA 2020 exam dates for NDA I and NDA II examinations have been released. Candidates can apply in online mode at upsconline.nic.in <\/strong>till 28th<\/sup> January, 2020.<\/p>\n

NDA exam is conducted by UPSC as a gateway for the candidates who desire to make their career in Indian Defence (the Army, the Navy and the Air Force).<\/p>\n

NDA 2020: SYLLABUS<\/strong><\/p>\n

The NDA exam consists of two papers:<\/p>\n

Mathematics<\/strong>: The syllabus of mathematics covers the following topic:-<\/p>\n

Trigonometry<\/strong>:<\/p>\n

    \n
  1. Trigonometric ratios<\/li>\n
  2. Angles and their measures in degrees and in radians.<\/li>\n
  3. Trigonometric identities sum and difference formula.<\/li>\n
  4. Multiple And Sub-Multiple Angles<\/li>\n
  5. Inverse Trigonometric Functions<\/li>\n
  6. Applications \u2013 Height And Distance<\/li>\n
  7. Properties of Triangles.<\/li>\n<\/ol>\n

    Algebra<\/strong>:<\/p>\n

      \n
    1. Operations on sets<\/li>\n
    2. Venn diagrams de Morgan laws<\/li>\n
    3. Cartesian product relation<\/li>\n
    4. Equivalence Relation<\/li>\n
    5. Representation of real numbers on a-line<\/li>\n
    6. Complex numbers \u2013 basic properties<\/li>\n
    7. Modulus argument<\/li>\n
    8. Cube roots of unity<\/li>\n
    9. Binary system of numbers<\/li>\n
    10. Conversion of a Number in Decimal System to Binary system and vice- versa<\/li>\n
    11. Arithmetic<\/li>\n
    12. Geometric and harmonic progressions<\/li>\n
    13. Quadratic equations with real coefficients<\/li>\n
    14. Solution Of Linear equations Of Two Variables By Graphs<\/li>\n
    15. Permutation and combination<\/li>\n
    16. Binomial theorem and its application<\/li>\n
    17. Logarithms and Their Applications<\/li>\n
    18. Concept of a set<\/li>\n<\/ol>\n

      Matrices and determinants:<\/strong><\/p>\n

        \n
      1. Types of matrices<\/li>\n
      2. Operations on matrices determinant of a matrix<\/li>\n
      3. Basic properties of determinant.<\/li>\n
      4. Adjoint and inverse of a square matrix<\/li>\n
      5. Applications \u2013 solution of a system of linear equations in two or three unknowns by Cramer\u2019s rule and by matrix method.<\/li>\n<\/ol>\n

        Integral Calculus:<\/strong><\/p>\n

          \n
        1. Integration As Inverse Differentiation<\/li>\n
        2. Integration By Parts And Substitution<\/li>\n
        3. Standard Integrals Involving Expression Of Algebraic,<\/li>\n
        4. Trigonometric,<\/li>\n
        5. Evaluation of Definite Integrals \u2013 Determination of Areas of Plane Regions<\/li>\n
        6. Bounded By Curves \u2013 Applications.<\/li>\n<\/ol>\n

          Analytics Geometry Of Two And Three Dimensions:<\/strong><\/p>\n

            \n
          1. Rectangular Cartesian coordinate system<\/li>\n
          2. Distance formula<\/li>\n
          3. Equation of a line in various forms<\/li>\n
          4. Angle between two lines<\/li>\n
          5. Distance of a point from a line<\/li>\n
          6. Equation of a circle in standard and in general, form<\/li>\n
          7. Standard forms of parabola<\/li>\n
          8. Ellipse and hyperbola<\/li>\n
          9. Eccentricity and axis of a conic<\/li>\n
          10. Point in a three-dimensional space, distance between two points.<\/li>\n
          11. Direction cosines and direction ratios.<\/li>\n
          12. The equation of a plane and a line in various forms.<\/li>\n
          13. The angle between two lines and angle between two planes.<\/li>\n
          14. The equation of a sphere.<\/li>\n<\/ol>\n

            Differential Calculus:<\/strong><\/p>\n

              \n
            1. Concept of a real-valued function \u2013 domain<\/li>\n
            2. Range and graph of a function<\/li>\n
            3. composite functions<\/li>\n
            4. Derivative of function at a point<\/li>\n
            5. Derivatives of sum<\/li>\n
            6. Product and quotient of functions<\/li>\n
            7. Derivative of a function with respect of another function<\/li>\n
            8. Derivative of a composite function<\/li>\n
            9. second-order derivatives<\/li>\n
            10. Increasing and decreasing functions<\/li>\n
            11. Application of derivatives in problems of maxima and minima.<\/li>\n<\/ol>\n

              Differential Equations:<\/strong><\/p>\n

                \n
              1. Definition of order and degree of a differential equation<\/li>\n
              2. Formation of a differential equation<\/li>\n
              3. General and particular solution of a differential equation<\/li>\n
              4. Solution of first order and first degree differential equations of various types<\/li>\n
              5. Application in problems of growth and decay.<\/li>\n<\/ol>\n

                Probability: <\/strong><\/p>\n

                  \n
                1. Random experiment<\/li>\n
                2. Outcomes and associated sample space<\/li>\n
                3. Events<\/li>\n
                4. Mutually exclusive and exhaustive events<\/li>\n
                5. Impossible and certain events<\/li>\n
                6. Union and intersection of events<\/li>\n
                7. Complementary<\/li>\n
                8. Elementary and composite events<\/li>\n
                9. Conditional probability<\/li>\n
                10. Bayes\u2019 theorem \u2013 simple problems<\/li>\n
                11. Random variable as function on a sample space<\/li>\n
                12. Binomial distribution<\/li>\n
                13. Examples of random experiments giving rise to binominal distribution.<\/li>\n<\/ol>\n

                  Vector Algebra:<\/strong><\/p>\n

                    \n
                  1. Vectors In Two And Three Dimensions<\/li>\n
                  2. Magnitude And Direction Of A Vector<\/li>\n
                  3. Unit And Null Vectors Addition Of Vectors<\/li>\n
                  4. Scalar Multiplication Of Vector<\/li>\n<\/ol>\n

                    Statistics:<\/strong><\/p>\n

                      \n
                    1. Classification Of Data<\/li>\n
                    2. Frequency Distribution<\/li>\n
                    3. Cumulative Frequency Distribution \u2013 Examples<\/li>\n
                    4. Graphical Representation \u2013 Histogram<\/li>\n
                    5. Pie Chart<\/li>\n
                    6. Frequency Polygon \u2013 Examples<\/li>\n
                    7. Measures Of Central Tendency \u2013 Mean Median And Mode<\/li>\n
                    8. Variance And Standard Deviation \u2013 Determination And Comparison<\/li>\n
                    9. Correlation And Regression<\/li>\n<\/ol>\n

                      General Ability Test<\/strong>:<\/p>\n

                      English<\/strong>: The syllabus of mathematics covers the following topic:-<\/p>\n

                        \n
                      1. Grammar and usage.<\/li>\n
                      2. Vocabulary.<\/li>\n<\/ol>\n