NDA Foundation course after class 11th at MKC.

Online Courses

NDA FOUNDATION

Unlimited access of live classes till 1 year
Recorded video, Notes ,Online Test Series
Doubt counter facility available
Hindi and English Medium batch available

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Why Choose MKC Online NDA FOUNDATION Courses

MAJOR KALSHI CLASSES, the most trusted institute for the preparation of the NDA examination. Our Institutes provides one- or two-year FOUNDATION COURSES (both online and offline) which are exclusively designed for 11th and 12th class passed out students. For the last so many years our commitment and dedication have led to a remarkable success ratio by inducting numerous officers in INDIAN ARMED FORCES through various defence examinations.

So, if you are desiring to be an officer then join our classes and learn with unique courses and get the perfect guidance from renowned defence experts, military veterans and top faculties to ensure the best result in the NDA examination :

AGE LIMIT :

16.5 YEARS TO 19.5 YEARS

EDUCATIONAL QUALIFICATION :

FOR ARMY WING OF NATIONAL DEFENCE ACADEMY: Candidate should pass the 10+2 by a recognized board of India
FOR AIR FORCE AND NAVAL WINGS OF NATIONAL DEFENCE ACADEMY AND FOR THE 10+2 CADET ENTRY SCHEME AT THE INDIAN NAVAL ACADEMY: Candidate should pass 10+2 with Physics, Chemistry and Mathematics

Note : - Candidates appearing for class 11th exam are not eligible for the examination

PHYSICAL STANDARDS :

A). The candidate must be physically fit according to guidelines of the National Defence Academy and Naval Defence Academy

Note : - Candidates appearing for class 11th exam are not eligible for the examination

SELECTION PROCEDURE :

A). Examination will comprise of 2 Papers
B). PAPER-I – ELEMENTARY MATHEMATICS
C). APER-II – GENERAL ABILITY TEST

EXAMINATION PATTERN :

PAPER	SUBJECTS	Duration of Examination	NO. OF QUESTIONS	MAXIMUM MARKS
PART – 1	MATHEMATICS	2 ½ hours	120	300
Part-2	GENERAL ABILITY I). ENGLISH II). GENERAL KNOWLEDGE	2 ½ hours	150	600

SYLLABUS OF THE EXAMINATION :

SUBJECTS	TOPICS
ELEMENTARY MATHEMATICS	1). ALGEBRA Concept of set Operations on sets Venn diagrams De Morgan laws Cartesian product Relation Equivalence relation 19 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. 2). 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. 3). 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. 4). 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. 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 Angle between two lines and angle between two planes. Equation of a sphere. 5). 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, 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. 6). 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 a differential equations, solution of first order and first degree differential equations of various types—examples. Application in problems of growth and decay. 7). 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. 8). 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 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.
ENGLISH	Reading Comprehension Cloze Test Para Jumbles Spotting Errors Fill in the Blanks Noun Preposition Verb Adjectives Adverb Conjunction Interjection One Word Substitution Active and Passive Voice Miscellaneous
GENERAL AWARENESS	Currents Events of National and International Importance Social and Religious affairs India and its neighbours Books and Authors Geography History and Polity of India Indian National Movement Economics Current affairs Indian Constitution Science and Development Schemes launched by the Government Important Dates and Days Art and Culture Sports Awards and Honours