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UPSC is activity to conduct NDA & NA (2) 2019 Accounting Assay on 17th November 2019. The accounting Assay will abide of two papers, i.e., Mathematics (Paper-1) and Accepted Ability Analysis (Paper-2). The accounting assay will conducted for the absolute 415 vacancies in the Indian Army, Navy and Air Force wings of the National Defence Academy (NDA) and Naval Academy (NA). The latest assay arrangement for UPSC NDA & NA (2) 2019 Accounting Assay is as accustomed beneath in the table:

Subject/ No. of Questions

Code

Duration

Maximum Marks

Mathematics (120 Questions)

01

2 Hours & 30 Minutes

300

General Ability Analysis (150 Questions)

02

2 Hours & 30 Minutes

600

Total

900

Get latest Assay Arrangement & Syllabus of UPSC NDA & NA 2 2019 Exam

Candidates are brash to alter important capacity of all the aloft sections to account aerial marks in UPSC NDA & NA (2) 2019 Exam. So, let’s accept a attending at the Important Mathematics Capacity of UPSC NDA & NA (2) 2019 Assay which consists of 120 Questions of 300 Marks.

Download Previous Year Affidavit of UPSC NDA & NA Exam

The Questions will be of cold blazon with assorted choices and are acceptable to accommodate questions pertaining to:

Chapter

Syllabus

Algebra

Concept of set, operations on sets, Venn diagrams, De Morgan laws, Cartesian product, relation, adequation relation.

Representation of absolute numbers on a line. Complex numbers—basic properties, modulus, argument, cube roots of unity. Bifold arrangement of numbers. Conversion of a cardinal in decimal arrangement to bifold arrangement and vice-versa. Arithmetic, Geometric and Harmonic progressions. Quadratic equations with absolute coefficients. Band-aid of beeline inequations of two variables by graphs. Permutation and Combination. Binomial assumption and its applications. Logarithms and their applications.

Matrices and Determinants

Types of matrices, operations on matrices. Determinant of a matrix, basal backdrop of determinants. Adjoint and changed of a aboveboard matrix, Applications-Solution of a arrangement of beeline equations in two or three unknowns by Cramer’s aphorism and by Cast Method.

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Trigonometry

Angles and their measures in degrees and in radians. Trigonometrical ratios. Algebraic identities Sum and aberration formulae. Assorted and Sub-multiple angles. Changed algebraic functions. Applications-Height and distance, backdrop of triangles.

Analytical Geometry Of Two and Three Dimensions

Rectangular Cartesian Coordinate system. Ambit formula. Blueprint of a band in assorted forms. Bend amid two lines. Ambit of a point from a line. Blueprint of a amphitheater in accepted and in accepted form. Accepted forms of parabola, ambit and hyperbola. Eccentricity and arbor of a conic. Point in a three dimensional space, ambit amid two points. Administration Cosines and administration ratios. Blueprint two points. Administration Cosines and administration ratios. Blueprint of a even and a band in assorted forms. Bend amid two curve and bend amid two planes. Blueprint of a sphere.

Practice UPSC NDA 2 2019: Accepted Ability Analysis Part A – English Mock Test

Differential Calculus

Concept of a absolute admired function–domain, ambit and blueprint of a function. Blended functions, one to one, assimilate and changed functions. Notion of limit, Accepted limits—examples. Continuity of functions – examples, algebraic operations on connected functions. Acquired of action at a point, geometrical and concrete estimation of a derivative-application. Derivatives of sum, artefact and caliber of functions, acquired of a action with account to accession function, acquired of a blended function. Second adjustment derivatives. Increasing and abbreviating functions. Application of derivatives in problems of maxima and minima

Integral Calculus and Cogwheel Equations

Integration as changed of differentiation, affiliation by barter and by parts, accepted integrals involving algebraic expressions, trigonometric, exponential and abstract functions. Evaluation of audible integrals—determination of areas of even regions belted by curves—applications.

Definition of adjustment and amount of a cogwheel equation, accumulation of a cogwheel blueprint by examples. Accepted and accurate band-aid of a cogwheel equations, band-aid of aboriginal adjustment and aboriginal amount cogwheel equations of assorted types—examples. Application in problems of advance and decay.

Vector Algebra

Vectors in two and three dimensions, consequence and administration of a vector. Unit and absent vectors, accession of vectors, scalar multiplication of a vector, scalar artefact or dot artefact of two vectors. Agent artefact or cantankerous artefact 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, Abundance distribution, accumulative abundance administration – examples. Graphical representation – Histogram, Pie Chart, abundance polygon—examples. Measures of Central tendency—Mean, average and mode. Variance and accepted aberration assurance and comparison. Correlation and regression.

Probability: Accidental experiment, outcomes and associated sample space, events, mutually absolute and all-embracing events, absurd and assertive events. Union and Intersection of events. Complementary, elementary and blended events. Definition of probability—classical and statistical—examples. Elementary theorems on probability—simple problems. Conditional probability, Bayes’ theorem—simple problems. Accidental capricious as action on a sample space. Binomial distribution, examples of accidental abstracts giving acceleration to Binominal distribution.

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