Previous Question Papers of National Defence Academy

Hello sir I am here as I want to get the Previous Question Paper of Elementary Mathematics of National Defence Academy Exam so will you please provide me the paper??

[Pathak]

As per your demand here I am providing you Previous Question Paper of Elementary Mathematics of National Defence Academy Exam
Previous Question Paper of Elementary Mathematics of National Defence Academy Exam



Syllabus of the Elementary Mathematics of National Defence Academy Exam

Algebra
-Concept of a 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 application
-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
-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
-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

Differential Calculus
-Concept of a real valued function – domain
-range and graph of a function
-Composite functions
-Derivative of function at a point
-Derivatives of sum
-Product and quotient of functions
-Derivative of a function with respect of 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
-General and particular solution of a differential equation

Vector Algebra
-Vectors in two and three dimensions
-Magnitude and direction of a vector
-Unit and null vectors addition of vectors
-Scalar multiplication of vector

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
-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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