The general ability section comprises of two parts which are mentioned below: Part вЂ“ AД®nglish: The English syllabus covers the topics like vocabulary, Grammar and usage, comprehension and cohesion in extended text to test the candidateвЂ™s proficiency in English. Probability: Outcomes and associated sample space, Binomial distribution, Random experiment, examples of random experiments giving rise to Binominal distribution, events, mutually exclusive and exhaustive events, BayesвЂ™ theorem вЂ“ simple problems, impossible and certain events, Complementary, elementary and composite events, Union and Intersection of events, Definition of probability вЂ“ classical and statistical вЂ“ examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability вЂ“ simple problems, Binomial distribution, examples of random experiments giving rise to Binominal distribution. Statistics: Frequency distribution, Classification of data, cumulative frequency distribution вЂ“ examples Graphical representation вЂ“ Histogram, Measures of Central tendency вЂ“ mean, median and mode, Pie Chart, Frequency Polygon вЂ“ examples, Variance and standard deviation вЂ“ determination and comparison, Correlation and regression.

Point in a three-dimensional space, distance between two points, Equation of a plane and a line in various forms, Equation of a sphere, Direction Cosines and direction ratios, angle between two lines and angle between two planes. Matrices and Determinants: Types of Matrices, Determinant of a matrix, adjoin and inverse of a square matrix, operations on matrices, Applications вЂ“ Solution of a system of linear equations in two or three unknowns by CramerвЂ™s rule and by Matrix Method, basic properties of determinant.ДЄnalytical Geometry of two and three dimensions: Distance formula, Equation of a circle in standard and in general form, Ellipse and hyperbola, Angle between two lines, Rectangular Cartesian Coordinate system, Equation of a line in various forms, Standard forms of parabola, Distance of a point from a line, Eccentricity and axis of a conic. Integral Calculus and Differential equations: Integration by substitution and by parts, trigonometric, Definition of order and degree of a differential equation, formation of a differential equation by examples, exponential and hyperbolic functions, solution of first order and first degree differential equations of various types вЂ“ examples, standard integrals involving algebraic expressions, Evaluation of definite integrals вЂ“ determination of areas of plane regions bounded by curves вЂ“ applications, General and particular solution of a differential equation, Integration as inverse of differentiation, Application in problems of growth and decay. Vector Algebra: Vectors in two and three dimensions, scalar multiplication of vector, scalar product or dot product of two-vectors, Applications-work done by a force and moment of a force, and in geometrical problems, magnitude and direction of a vector, Unit and null vectors, addition of vectors, Vector product and cross product of two vectors. Algebra: Complex numbers вЂ“ basic properties, modulus, Conversion of a number in decimal system to binary system and vice-versa, Arithmetic, argument, cube roots of unity, Geometric and Harmonic progressions, Solution of linear inequations of two variables by graphs, Representation of real numbers on a line, Binary system of numbers, Binomial theorem and its application, Quadratic equations with real coefficients, Permutation and Combination, Logarithms and their applications.Дifferential Calculus: Composite functions, one to one, onto and inverse functions, geometrical and physical interpretation of a derivative вЂ“ applications, increasing and decreasing functions,В Continuity of functions вЂ“ examples, algebraic operations on continuous functions, Application of derivatives in problems of maxima and minima, Concept of a real valued function вЂ“ domain, range and graph of a function, Notion of limit, Standard limits вЂ“ examples, geometrical and physical interpretation of a derivative вЂ“ applications, Derivative of a 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 and Second order derivatives.

Gta 9/11 2016